257501936640 has 704 divisors, whose sum is σ = 923468055552. Its totient is φ = 60830515200.

The previous prime is 257501936621. The next prime is 257501936669. The reversal of 257501936640 is 46639105752.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 257501936640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 581268259 + ... + 581268701.

Almost surely, 2^257501936640 is an apocalyptic number.

257501936640 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 257501936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461734027776).

257501936640 is an abundant number, since it is smaller than the sum of its proper divisors (665966118912).

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

257501936640 is a wasteful number, since it uses less digits than its factorization.

257501936640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 257501936640 in words is "two hundred fifty-seven billion, five hundred one million, nine hundred thirty-six thousand, six hundred forty".