25132370688 has 288 divisors, whose sum is σ = 80942400000. Its totient is φ = 7661703168.

The previous prime is 25132370671. The next prime is 25132370693. The reversal of 25132370688 is 88607323152.

25132370688 is a `hidden beast` number, since 2 + 513 + 2 + 3 + 70 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3805213 + ... + 3811811.

It is an arithmetic number, because the mean of its divisors is an integer number (281050000).

Almost surely, 2^25132370688 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 25132370688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40471200000).

25132370688 is an abundant number, since it is smaller than the sum of its proper divisors (55810029312).

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

25132370688 is a wasteful number, since it uses less digits than its factorization.

25132370688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6672 (or 6652 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 25132370688 in words is "twenty-five billion, one hundred thirty-two million, three hundred seventy thousand, six hundred eighty-eight".