250057130400 has 2304 divisors, whose sum is σ = 1222121779200. Its totient is φ = 47775744000.

The previous prime is 250057130399. The next prime is 250057130437. The reversal of 250057130400 is 4031750052.

It is a happy number.

250057130400 is a `hidden beast` number, since 2 + 50 + 0 + 571 + 3 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 1295632704 + ... + 1295632896.

It is an arithmetic number, because the mean of its divisors is an integer number (530434800).

Almost surely, 2^250057130400 is an apocalyptic number.

250057130400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 250057130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611060889600).

250057130400 is an abundant number, since it is smaller than the sum of its proper divisors (972064648800).

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

250057130400 is a wasteful number, since it uses less digits than its factorization.

250057130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

Adding to 250057130400 its reverse (4031750052), we get a palindrome (254088880452).

The spelling of 250057130400 in words is "two hundred fifty billion, fifty-seven million, one hundred thirty thousand, four hundred".