25451957801088 has 1280 divisors, whose sum is σ = 94398314250240. Its totient is φ = 6628615741440.

The previous prime is 25451957801077. The next prime is 25451957801093. The reversal of 25451957801088 is 88010875915452.

25451957801088 is a `hidden beast` number, since 2 + 5 + 4 + 51 + 9 + 578 + 0 + 1 + 0 + 8 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 37264945195 + ... + 37264945877.

It is an arithmetic number, because the mean of its divisors is an integer number (73748683008).

Almost surely, 2^{25451957801088} is an apocalyptic number.

25451957801088 is a gapful number since it is divisible by the number (28) 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 25451957801088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47199157125120).

25451957801088 is an abundant number, since it is smaller than the sum of its proper divisors (68946356449152).

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

25451957801088 is a wasteful number, since it uses less digits than its factorization.

25451957801088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 63.

The spelling of 25451957801088 in words is "twenty-five trillion, four hundred fifty-one billion, nine hundred fifty-seven million, eight hundred one thousand, eighty-eight".