25164684452900 has 36 divisors (see below), whose sum is σ = 54663258377028. Its totient is φ = 10055570903040.

The previous prime is 25164684452881. The next prime is 25164684452951. The reversal of 25164684452900 is 925448646152.

It can be written as a sum of positive squares in 6 ways, for example, as 6076313740324 + 19088370712576 = 2465018^2 + 4369024^2 .

It is a super-2 number, since 2×25164684452900² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128687789 + ... + 128883188.

Almost surely, 2^{25164684452900} is an apocalyptic number.

25164684452900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25164684452900 is an abundant number, since it is smaller than the sum of its proper divisors (29498573924128).

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

25164684452900 is a wasteful number, since it uses less digits than its factorization.

25164684452900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257571968 (or 257571961 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 56.

The spelling of 25164684452900 in words is "twenty-five trillion, one hundred sixty-four billion, six hundred eighty-four million, four hundred fifty-two thousand, nine hundred".