257136888400 has 360 divisors, whose sum is σ = 731270320704. Its totient is φ = 86623488000.

The previous prime is 257136888377. The next prime is 257136888403. The reversal of 257136888400 is 4888631752.

257136888400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257136888400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257136888403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 427848100 + ... + 427848700.

Almost surely, 2^257136888400 is an apocalyptic number.

257136888400 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 257136888400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365635160352).

257136888400 is an abundant number, since it is smaller than the sum of its proper divisors (474133432304).

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

257136888400 is a wasteful number, since it uses less digits than its factorization.

257136888400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The spelling of 257136888400 in words is "two hundred fifty-seven billion, one hundred thirty-six million, eight hundred eighty-eight thousand, four hundred".