25012957552128 has 2800 divisors, whose sum is σ = 99970482260880. Its totient is φ = 6194316312576.

The previous prime is 25012957552127. The next prime is 25012957552151. The reversal of 25012957552128 is 82125575921052.

25012957552128 is a `hidden beast` number, since 2 + 5 + 0 + 1 + 2 + 9 + 575 + 52 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25012957552123) by changing a digit.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 221353606600 + ... + 221353606712.

Almost surely, 2^{25012957552128} is an apocalyptic number.

25012957552128 is a gapful number since it is divisible by the number (28) 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 25012957552128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49985241130440).

25012957552128 is an abundant number, since it is smaller than the sum of its proper divisors (74957524708752).

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

25012957552128 is an frugal number, since it uses more digits than its factorization.

25012957552128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 54.

The spelling of 25012957552128 in words is "twenty-five trillion, twelve billion, nine hundred fifty-seven million, five hundred fifty-two thousand, one hundred twenty-eight".