257732772720 has 80 divisors (see below), whose sum is σ = 812513531520. Its totient is φ = 67563841792.

The previous prime is 257732772701. The next prime is 257732772727. The reversal of 257732772720 is 27277237752.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-5 number, since 5×257732772720⁵ (a number of 58 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257732772727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9086574 + ... + 9114893.

It is an arithmetic number, because the mean of its divisors is an integer number (10156419144).

Almost surely, 2^257732772720 is an apocalyptic number.

257732772720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257732772720 is an abundant number, since it is smaller than the sum of its proper divisors (554780758800).

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

257732772720 is a wasteful number, since it uses less digits than its factorization.

257732772720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18201542 (or 18201536 counting only the distinct ones).

The product of its (nonzero) digits is 4033680, while the sum is 51.

The spelling of 257732772720 in words is "two hundred fifty-seven billion, seven hundred thirty-two million, seven hundred seventy-two thousand, seven hundred twenty".