25597755779552 has 48 divisors (see below), whose sum is σ = 55205118715824. Its totient is φ = 11587064064000.

The previous prime is 25597755779549. The next prime is 25597755779581.

25597755779552 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×25597755779552³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150788399 + ... + 150958062.

It is an arithmetic number, because the mean of its divisors is an integer number (1150106639913).

Almost surely, 2^{25597755779552} is an apocalyptic number.

25597755779552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

25597755779552 is an abundant number, since it is smaller than the sum of its proper divisors (29607362936272).

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

25597755779552 is a wasteful number, since it uses less digits than its factorization.

25597755779552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301746723 (or 301746715 counting only the distinct ones).

The product of its digits is 12155062500, while the sum is 80.

The spelling of 25597755779552 in words is "twenty-five trillion, five hundred ninety-seven billion, seven hundred fifty-five million, seven hundred seventy-nine thousand, five hundred fifty-two".