25981281029088 has 384 divisors, whose sum is σ = 97525050900480. Its totient is φ = 6530694336000.

The previous prime is 25981281029071. The next prime is 25981281029173. The reversal of 25981281029088 is 88092018218952.

25981281029088 is a `hidden beast` number, since 2 + 598 + 1 + 2 + 8 + 10 + 29 + 0 + 8 + 8 = 666.

It is a super-2 number, since 2×25981281029088² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 4236528 + ... + 8361263.

It is an arithmetic number, because the mean of its divisors is an integer number (253971486720).

Almost surely, 2^{25981281029088} is an apocalyptic number.

25981281029088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

25981281029088 is an abundant number, since it is smaller than the sum of its proper divisors (71543769871392).

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

25981281029088 is a wasteful number, since it uses less digits than its factorization.

25981281029088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12597859 (or 12597845 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 63.

The spelling of 25981281029088 in words is "twenty-five trillion, nine hundred eighty-one billion, two hundred eighty-one million, twenty-nine thousand, eighty-eight".