25308772632 has 384 divisors, whose sum is σ = 83357164800. Its totient is φ = 6835276800.

The previous prime is 25308772631. The next prime is 25308772663. The reversal of 25308772632 is 23627780352.

25308772632 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 8 + 7 + 7 + 2 + 632 = 666.

It is a super-3 number, since 3×25308772632³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25308772631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37054963 + ... + 37055645.

It is an arithmetic number, because the mean of its divisors is an integer number (217075950).

Almost surely, 2^25308772632 is an apocalyptic number.

25308772632 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 25308772632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41678582400).

25308772632 is an abundant number, since it is smaller than the sum of its proper divisors (58048392168).

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

25308772632 is a wasteful number, since it uses less digits than its factorization.

25308772632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 25308772632 in words is "twenty-five billion, three hundred eight million, seven hundred seventy-two thousand, six hundred thirty-two".