25743249360 has 80 divisors (see below), whose sum is σ = 88671199680. Its totient is φ = 6864865920.

The previous prime is 25743249349. The next prime is 25743249403. The reversal of 25743249360 is 6394234752.

25743249360 is a `hidden beast` number, since 2 + 5 + 7 + 43 + 249 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×25743249360² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5956926 + ... + 5961245.

It is an arithmetic number, because the mean of its divisors is an integer number (1108389996).

Almost surely, 2^25743249360 is an apocalyptic number.

25743249360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25743249360 is an abundant number, since it is smaller than the sum of its proper divisors (62927950320).

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

25743249360 is a wasteful number, since it uses less digits than its factorization.

25743249360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11918193 (or 11918181 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 25743249360 in words is "twenty-five billion, seven hundred forty-three million, two hundred forty-nine thousand, three hundred sixty".