25681531680 has 384 divisors, whose sum is σ = 103340966400. Its totient is φ = 5834944512.

The previous prime is 25681531663. The next prime is 25681531693. The reversal of 25681531680 is 8613518652.

25681531680 is a `hidden beast` number, since 2 + 56 + 8 + 1 + 531 + 68 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5229066 + ... + 5233974.

It is an arithmetic number, because the mean of its divisors is an integer number (269117100).

Almost surely, 2^25681531680 is an apocalyptic number.

25681531680 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 25681531680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51670483200).

25681531680 is an abundant number, since it is smaller than the sum of its proper divisors (77659434720).

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

25681531680 is a wasteful number, since it uses less digits than its factorization.

25681531680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5113 (or 5099 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 25681531680 in words is "twenty-five billion, six hundred eighty-one million, five hundred thirty-one thousand, six hundred eighty".