13825643097420 has 2880 divisors, whose sum is σ = 60360460554240. Its totient is φ = 2610123264000.

The previous prime is 13825643097419. The next prime is 13825643097421. The reversal of 13825643097420 is 2479034652831.

13825643097420 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 564 + 3 + 0 + 9 + 74 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13825643097419) and next prime (13825643097421).

It is a super-2 number, since 2×13825643097420² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13825643097421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 61998399429 + ... + 61998399651.

It is an arithmetic number, because the mean of its divisors is an integer number (20958493248).

It is a 1-persistent number, because it is pandigital, but 2⋅13825643097420 = 27651286194840 is not.

Almost surely, 2^{13825643097420} is an apocalyptic number.

13825643097420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13825643097420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30180230277120).

13825643097420 is an abundant number, since it is smaller than the sum of its proper divisors (46534817456820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13825643097420 is a wasteful number, since it uses less digits than its factorization.

13825643097420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 13825643097420 in words is "thirteen trillion, eight hundred twenty-five billion, six hundred forty-three million, ninety-seven thousand, four hundred twenty".