25632087120 has 240 divisors, whose sum is σ = 92151101952. Its totient is φ = 6614576640.

The previous prime is 25632087101. The next prime is 25632087139. The reversal of 25632087120 is 2178023652.

25632087120 is a `hidden beast` number, since 2 + 5 + 632 + 0 + 8 + 7 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25632087101) and next prime (25632087139).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 581374 + ... + 623906.

Almost surely, 2^25632087120 is an apocalyptic number.

25632087120 is a gapful number since it is divisible by the number (20) 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 25632087120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46075550976).

25632087120 is an abundant number, since it is smaller than the sum of its proper divisors (66519014832).

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

25632087120 is a wasteful number, since it uses less digits than its factorization.

25632087120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42592 (or 42574 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 25632087120 in words is "twenty-five billion, six hundred thirty-two million, eighty-seven thousand, one hundred twenty".