257225197320 has 2560 divisors, whose sum is σ = 1234706457600. Its totient is φ = 46438023168.

The previous prime is 257225197309. The next prime is 257225197331. The reversal of 257225197320 is 23791522752.

257225197320 is a `hidden beast` number, since 2 + 5 + 72 + 251 + 9 + 7 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (257225197309) and next prime (257225197331).

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 639 ways as a sum of consecutive naturals, for example, 3523632804 + ... + 3523632876.

It is an arithmetic number, because the mean of its divisors is an integer number (482307210).

Almost surely, 2^257225197320 is an apocalyptic number.

257225197320 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 257225197320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617353228800).

257225197320 is an abundant number, since it is smaller than the sum of its proper divisors (977481260280).

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

257225197320 is a wasteful number, since it uses less digits than its factorization.

257225197320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 257225197320 in words is "two hundred fifty-seven billion, two hundred twenty-five million, one hundred ninety-seven thousand, three hundred twenty".