25002230250400 has 144 divisors (see below), whose sum is σ = 66632262934104. Its totient is φ = 9105132257280.

The previous prime is 25002230250373. The next prime is 25002230250409. The reversal of 25002230250400 is 405203220052.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2045597899536 + 22956632350864 = 1430244^2 + 4791308^2 .

It is a super-2 number, since 2×25002230250400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (25002230250409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15706969 + ... + 17225368.

Almost surely, 2^{25002230250400} is an apocalyptic number.

25002230250400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25002230250400 is an abundant number, since it is smaller than the sum of its proper divisors (41630032683704).

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

25002230250400 is a wasteful number, since it uses less digits than its factorization.

25002230250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32932443 (or 32932430 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 25002230250400 its reverse (405203220052), we get a palindrome (25407433470452).

The spelling of 25002230250400 in words is "twenty-five trillion, two billion, two hundred thirty million, two hundred fifty thousand, four hundred".