25087974912 has 1280 divisors, whose sum is σ = 104493312000. Its totient is φ = 5852528640.

The previous prime is 25087974883. The next prime is 25087974913. The reversal of 25087974912 is 21947978052.

25087974912 is a `hidden beast` number, since 2 + 508 + 7 + 97 + 49 + 1 + 2 = 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 (25087974913) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 678053358 + ... + 678053394.

It is an arithmetic number, because the mean of its divisors is an integer number (81635400).

Almost surely, 2^25087974912 is an apocalyptic number.

25087974912 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 25087974912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52246656000).

25087974912 is an abundant number, since it is smaller than the sum of its proper divisors (79405337088).

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

25087974912 is a wasteful number, since it uses less digits than its factorization.

25087974912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

It can be divided in two parts, 25087 and 974912, that added together give a palindrome (999999).

The spelling of 25087974912 in words is "twenty-five billion, eighty-seven million, nine hundred seventy-four thousand, nine hundred twelve".