257820462720 has 576 divisors, whose sum is σ = 940452664320. Its totient is φ = 65052979200.

The previous prime is 257820462617. The next prime is 257820462737. The reversal of 257820462720 is 27264028752.

257820462720 is a `hidden beast` number, since 2 + 578 + 2 + 0 + 4 + 6 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 260161425 + ... + 260162415.

It is an arithmetic number, because the mean of its divisors is an integer number (1632730320).

Almost surely, 2^257820462720 is an apocalyptic number.

257820462720 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 257820462720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470226332160).

257820462720 is an abundant number, since it is smaller than the sum of its proper divisors (682632201600).

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

257820462720 is a wasteful number, since it uses less digits than its factorization.

257820462720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 257820462720 in words is "two hundred fifty-seven billion, eight hundred twenty million, four hundred sixty-two thousand, seven hundred twenty".