257340617616 has 40 divisors (see below), whose sum is σ = 664952127840. Its totient is φ = 85760137216.

The previous prime is 257340617587. The next prime is 257340617617. The reversal of 257340617616 is 616716043752.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (257340617617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 419130 + ... + 830873.

It is an arithmetic number, because the mean of its divisors is an integer number (16623803196).

Almost surely, 2^257340617616 is an apocalyptic number.

It is an amenable number.

257340617616 is an abundant number, since it is smaller than the sum of its proper divisors (407611510224).

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

257340617616 is a wasteful number, since it uses less digits than its factorization.

257340617616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254303 (or 1254297 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 257340617616 in words is "two hundred fifty-seven billion, three hundred forty million, six hundred seventeen thousand, six hundred sixteen".