257132435920 has 80 divisors (see below), whose sum is σ = 611150883840. Its totient is φ = 100579980800.

The previous prime is 257132435899. The next prime is 257132435947. The reversal of 257132435920 is 29534231752.

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

It is a super-2 number, since 2×257132435920² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 758910 + ... + 1044130.

It is an arithmetic number, because the mean of its divisors is an integer number (7639386048).

Almost surely, 2^257132435920 is an apocalyptic number.

257132435920 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 257132435920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305575441920).

257132435920 is an abundant number, since it is smaller than the sum of its proper divisors (354018447920).

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

257132435920 is a wasteful number, since it uses less digits than its factorization.

257132435920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285484 (or 285478 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The spelling of 257132435920 in words is "two hundred fifty-seven billion, one hundred thirty-two million, four hundred thirty-five thousand, nine hundred twenty".