13077425520 has 240 divisors, whose sum is σ = 44905161600. Its totient is φ = 3409620480.

The previous prime is 13077425519. The next prime is 13077425531. The reversal of 13077425520 is 2552477031.

13077425520 is a `hidden beast` number, since 1 + 30 + 7 + 74 + 2 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×13077425520² (a number of 21 digits) contains 22 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8962551 + ... + 8964009.

It is an arithmetic number, because the mean of its divisors is an integer number (187104840).

Almost surely, 2^13077425520 is an apocalyptic number.

13077425520 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 13077425520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22452580800).

13077425520 is an abundant number, since it is smaller than the sum of its proper divisors (31827736080).

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

13077425520 is a wasteful number, since it uses less digits than its factorization.

13077425520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 13077425520 in words is "thirteen billion, seventy-seven million, four hundred twenty-five thousand, five hundred twenty".