25536928032 has 576 divisors, whose sum is σ = 94540013568. Its totient is φ = 6398092800.

The previous prime is 25536928009. The next prime is 25536928033. The reversal of 25536928032 is 23082963552.

25536928032 is a `hidden beast` number, since 2 + 5 + 5 + 369 + 280 + 3 + 2 = 666.

It is a super-3 number, since 3×25536928032³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (25536928033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83182023 + ... + 83182329.

It is an arithmetic number, because the mean of its divisors is an integer number (164131968).

Almost surely, 2^25536928032 is an apocalyptic number.

25536928032 is a gapful number since it is divisible by the number (22) 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 25536928032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47270006784).

25536928032 is an abundant number, since it is smaller than the sum of its proper divisors (69003085536).

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

25536928032 is a wasteful number, since it uses less digits than its factorization.

25536928032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 25536928032 in words is "twenty-five billion, five hundred thirty-six million, nine hundred twenty-eight thousand, thirty-two".