257151914712 has 192 divisors, whose sum is σ = 879297868800. Its totient is φ = 65947115520.

The previous prime is 257151914671. The next prime is 257151914731. The reversal of 257151914712 is 217419151752.

257151914712 is a `hidden beast` number, since 2 + 57 + 1 + 519 + 14 + 71 + 2 = 666.

It is a super-2 number, since 2×257151914712² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144408 + ... + 731544.

It is an arithmetic number, because the mean of its divisors is an integer number (4579676400).

Almost surely, 2^257151914712 is an apocalyptic number.

257151914712 is a gapful number since it is divisible by the number (22) 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 257151914712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439648934400).

257151914712 is an abundant number, since it is smaller than the sum of its proper divisors (622145954088).

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

257151914712 is a wasteful number, since it uses less digits than its factorization.

257151914712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587246 (or 587239 counting only the distinct ones).

The product of its digits is 176400, while the sum is 45.

The spelling of 257151914712 in words is "two hundred fifty-seven billion, one hundred fifty-one million, nine hundred fourteen thousand, seven hundred twelve".