25497702400 has 117 divisors (see below), whose sum is σ = 63353543421. Its totient is φ = 10178641920.

The previous prime is 25497702397. The next prime is 25497702401. The reversal of 25497702400 is 420779452.

The square root of 25497702400 is 159680.

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., 9179172864 + 16318529536 = 95808^2 + 127744^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25497702401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 51097351 + ... + 51097849.

Almost surely, 2^25497702400 is an apocalyptic number.

25497702400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25497702400 is the 159680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25497702400

25497702400 is an abundant number, since it is smaller than the sum of its proper divisors (37855841021).

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

25497702400 is an frugal number, since it uses more digits than its factorization.

25497702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 25497702400 in words is "twenty-five billion, four hundred ninety-seven million, seven hundred two thousand, four hundred".