13642510363020 has 288 divisors, whose sum is σ = 51692548916736. Its totient is φ = 2829364761600.

The previous prime is 13642510363003. The next prime is 13642510363021. The reversal of 13642510363020 is 2036301524631.

13642510363020 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 2 + 5 + 10 + 3 + 630 + 2 + 0 = 666.

It is a super-2 number, since 2×13642510363020² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13642510363021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6276427 + ... + 8165693.

It is an arithmetic number, because the mean of its divisors is an integer number (179488017072).

Almost surely, 2^{13642510363020} is an apocalyptic number.

13642510363020 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 13642510363020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25846274458368).

13642510363020 is an abundant number, since it is smaller than the sum of its proper divisors (38050038553716).

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

13642510363020 is a wasteful number, since it uses less digits than its factorization.

13642510363020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889821 (or 1889816 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 13642510363020 its reverse (2036301524631), we get a palindrome (15678811887651).

The spelling of 13642510363020 in words is "thirteen trillion, six hundred forty-two billion, five hundred ten million, three hundred sixty-three thousand, twenty".