25466652800 has 96 divisors (see below), whose sum is σ = 66611356020. Its totient is φ = 9587425280.

The previous prime is 25466652773. The next prime is 25466652803. The reversal of 25466652800 is 825666452.

It can be written as a sum of positive squares in 6 ways, for example, as 15914327104 + 9552325696 = 126152^2 + 97736^2 .

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (25466652803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179669 + ... + 288468.

Almost surely, 2^25466652800 is an apocalyptic number.

25466652800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25466652800 is an abundant number, since it is smaller than the sum of its proper divisors (41144703220).

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

25466652800 is a wasteful number, since it uses less digits than its factorization.

25466652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468178 (or 468161 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 44.

The spelling of 25466652800 in words is "twenty-five billion, four hundred sixty-six million, six hundred fifty-two thousand, eight hundred".