25981551360 has 288 divisors, whose sum is σ = 95176488960. Its totient is φ = 6704640000.

The previous prime is 25981551319. The next prime is 25981551373. The reversal of 25981551360 is 6315518952.

25981551360 is a `hidden beast` number, since 2 + 5 + 98 + 1 + 551 + 3 + 6 + 0 = 666.

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

It is a super-2 number, since 2×25981551360² (a number of 22 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1059235 + ... + 1083485.

It is an arithmetic number, because the mean of its divisors is an integer number (330473920).

Almost surely, 2^25981551360 is an apocalyptic number.

25981551360 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 25981551360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47588244480).

25981551360 is an abundant number, since it is smaller than the sum of its proper divisors (69194937600).

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

25981551360 is a wasteful number, since it uses less digits than its factorization.

25981551360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24312 (or 24292 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 25981551360 in words is "twenty-five billion, nine hundred eighty-one million, five hundred fifty-one thousand, three hundred sixty".