257150475823104 has 240 divisors, whose sum is σ = 768136470060960. Its totient is φ = 85711545999360.

The previous prime is 257150475823061. The next prime is 257150475823169. The reversal of 257150475823104 is 401328574051752.

257150475823104 is a `hidden beast` number, since 2 + 5 + 7 + 1 + 5 + 0 + 47 + 582 + 3 + 10 + 4 = 666.

It is a super-2 number, since 2×257150475823104² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3440977419 + ... + 3441052149.

It is an arithmetic number, because the mean of its divisors is an integer number (3200568625254).

Almost surely, 2^{257150475823104} is an apocalyptic number.

257150475823104 is a gapful number since it is divisible by the number (24) 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 257150475823104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384068235030480).

257150475823104 is an abundant number, since it is smaller than the sum of its proper divisors (510985994237856).

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

257150475823104 is an equidigital number, since it uses as much as digits as its factorization.

257150475823104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95508 (or 95479 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 257150475823104 in words is "two hundred fifty-seven trillion, one hundred fifty billion, four hundred seventy-five million, eight hundred twenty-three thousand, one hundred four".