257564297940 has 192 divisors, whose sum is σ = 758436790272. Its totient is φ = 65224051200.

The previous prime is 257564297929. The next prime is 257564297981. The reversal of 257564297940 is 49792465752.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 52529529 + ... + 52534431.

It is an arithmetic number, because the mean of its divisors is an integer number (3950191616).

Almost surely, 2^257564297940 is an apocalyptic number.

257564297940 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 257564297940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379218395136).

257564297940 is an abundant number, since it is smaller than the sum of its proper divisors (500872492332).

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

257564297940 is a wasteful number, since it uses less digits than its factorization.

257564297940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5470 (or 5468 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 60.

The spelling of 257564297940 in words is "two hundred fifty-seven billion, five hundred sixty-four million, two hundred ninety-seven thousand, nine hundred forty".