13025012574420 has 1728 divisors, whose sum is σ = 55237010669568. Its totient is φ = 2418729984000.

The previous prime is 13025012574407. The next prime is 13025012574421. The reversal of 13025012574420 is 2447521052031.

13025012574420 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 50 + 12 + 574 + 4 + 20 = 666.

It is a super-3 number, since 3×13025012574420³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13025012574421) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 9001390137 + ... + 9001391583.

It is an arithmetic number, because the mean of its divisors is an integer number (31965862656).

Almost surely, 2^{13025012574420} is an apocalyptic number.

13025012574420 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 13025012574420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27618505334784).

13025012574420 is an abundant number, since it is smaller than the sum of its proper divisors (42211998095148).

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

13025012574420 is a wasteful number, since it uses less digits than its factorization.

13025012574420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 13025012574420 in words is "thirteen trillion, twenty-five billion, twelve million, five hundred seventy-four thousand, four hundred twenty".