25981438523040 has 3456 divisors, whose sum is σ = 129244511305728. Its totient is φ = 4587055349760.

The previous prime is 25981438522997. The next prime is 25981438523071. The reversal of 25981438523040 is 4032583418952.

25981438523040 is a `hidden beast` number, since 2 + 5 + 9 + 81 + 4 + 38 + 523 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×25981438523040² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 19579078857 + ... + 19579080183.

It is an arithmetic number, because the mean of its divisors is an integer number (37397138688).

Almost surely, 2^{25981438523040} is an apocalyptic number.

25981438523040 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 25981438523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64622255652864).

25981438523040 is an abundant number, since it is smaller than the sum of its proper divisors (103263072782688).

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

25981438523040 is a wasteful number, since it uses less digits than its factorization.

25981438523040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 25981438523040 in words is "twenty-five trillion, nine hundred eighty-one billion, four hundred thirty-eight million, five hundred twenty-three thousand, forty".