12525020928 has 432 divisors, whose sum is σ = 43748140800. Its totient is φ = 3572481024.

The previous prime is 12525020927. The next prime is 12525020971. The reversal of 12525020928 is 82902052521.

12525020928 is a `hidden beast` number, since 12 + 52 + 502 + 0 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×12525020928² (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 junction number, because it is equal to n+sod(n) for n = 12525020892 and 12525020901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12525020927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21337051 + ... + 21337637.

Almost surely, 2^12525020928 is an apocalyptic number.

12525020928 is a gapful number since it is divisible by the number (18) 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 12525020928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21874070400).

12525020928 is an abundant number, since it is smaller than the sum of its proper divisors (31223119872).

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

12525020928 is an frugal number, since it uses more digits than its factorization.

12525020928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 12525020928 in words is "twelve billion, five hundred twenty-five million, twenty thousand, nine hundred twenty-eight".