257193974016 has 216 divisors, whose sum is σ = 861386437184. Its totient is φ = 72279060480.

The previous prime is 257193974003. The next prime is 257193974021. The reversal of 257193974016 is 610479391752.

It is a super-2 number, since 2×257193974016² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 853095 + ... + 1114521.

Almost surely, 2^257193974016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257193974016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430693218592).

257193974016 is an abundant number, since it is smaller than the sum of its proper divisors (604192463168).

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

257193974016 is a wasteful number, since it uses less digits than its factorization.

257193974016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261517 (or 261500 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 257193974016 in words is "two hundred fifty-seven billion, one hundred ninety-three million, nine hundred seventy-four thousand, sixteen".