257150156800 has 240 divisors, whose sum is σ = 666239389200. Its totient is φ = 98272542720.

The previous prime is 257150156797. The next prime is 257150156827. The reversal of 257150156800 is 8651051752.

It is a happy number.

257150156800 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 2×257150156800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 301465174 + ... + 301466026.

It is an arithmetic number, because the mean of its divisors is an integer number (2775997455).

Almost surely, 2^257150156800 is an apocalyptic number.

257150156800 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 257150156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333119694600).

257150156800 is an abundant number, since it is smaller than the sum of its proper divisors (409089232400).

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

257150156800 is an frugal number, since it uses more digits than its factorization.

257150156800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 40.

The spelling of 257150156800 in words is "two hundred fifty-seven billion, one hundred fifty million, one hundred fifty-six thousand, eight hundred".