25749979024 has 135 divisors (see below), whose sum is σ = 63914296593. Its totient is φ = 10013203200.

The previous prime is 25749978977. The next prime is 25749979027. The reversal of 25749979024 is 42097994752.

The square root of 25749979024 is 160468.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7384308624 + 18365670400 = 85932^2 + 135520^2 .

It is a super-2 number, since 2×25749979024² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25749979024.

It is not an unprimeable number, because it can be changed into a prime (25749979027) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 49423884 + ... + 49424404.

Almost surely, 2^25749979024 is an apocalyptic number.

25749979024 is the 160468-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25749979024

25749979024 is an abundant number, since it is smaller than the sum of its proper divisors (38164317569).

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

25749979024 is an equidigital number, since it uses as much as digits as its factorization.

25749979024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 58.

The spelling of 25749979024 in words is "twenty-five billion, seven hundred forty-nine million, nine hundred seventy-nine thousand, twenty-four".