25521695136 has 384 divisors, whose sum is σ = 87681484800. Its totient is φ = 7160203008.

The previous prime is 25521695131. The next prime is 25521695153. The reversal of 25521695136 is 63159612552.

25521695136 is a `hidden beast` number, since 2 + 5 + 521 + 6 + 95 + 1 + 36 = 666.

It is a super-2 number, since 2×25521695136² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 25521695091 and 25521695100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25521695131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28902951 + ... + 28903833.

It is an arithmetic number, because the mean of its divisors is an integer number (228337200).

Almost surely, 2^25521695136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25521695136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43840742400).

25521695136 is an abundant number, since it is smaller than the sum of its proper divisors (62159789664).

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

25521695136 is an frugal number, since it uses more digits than its factorization.

25521695136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 954 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The spelling of 25521695136 in words is "twenty-five billion, five hundred twenty-one million, six hundred ninety-five thousand, one hundred thirty-six".