25071088680 has 512 divisors, whose sum is σ = 93349324800. Its totient is φ = 5984098560.

The previous prime is 25071088661. The next prime is 25071088681. The reversal of 25071088680 is 8688017052.

25071088680 is a `hidden beast` number, since 2 + 507 + 1 + 0 + 88 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (25071088681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 153810279 + ... + 153810441.

It is an arithmetic number, because the mean of its divisors is an integer number (182322900).

Almost surely, 2^25071088680 is an apocalyptic number.

25071088680 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 25071088680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46674662400).

25071088680 is an abundant number, since it is smaller than the sum of its proper divisors (68278236120).

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

25071088680 is a wasteful number, since it uses less digits than its factorization.

25071088680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 25071088680 in words is "twenty-five billion, seventy-one million, eighty-eight thousand, six hundred eighty".