257061301164400 has 60 divisors (see below), whose sum is σ = 617823095470192. Its totient is φ = 102785674360320.

The previous prime is 257061301164383. The next prime is 257061301164517. The reversal of 257061301164400 is 4461103160752.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120333957 + ... + 122451556.

Almost surely, 2^{257061301164400} is an apocalyptic number.

257061301164400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257061301164400 is an abundant number, since it is smaller than the sum of its proper divisors (360761794305792).

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

257061301164400 is a wasteful number, since it uses less digits than its factorization.

257061301164400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242788178 (or 242788167 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 257061301164400 in words is "two hundred fifty-seven trillion, sixty-one billion, three hundred one million, one hundred sixty-four thousand, four hundred".