255704064000 has 1792 divisors, whose sum is σ = 1130581131264. Its totient is φ = 49741824000.

The previous prime is 255704063971. The next prime is 255704064043. The reversal of 255704064000 is 460407552.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×255704064000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5440511977 + ... + 5440512023.

Almost surely, 2^255704064000 is an apocalyptic number.

255704064000 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 255704064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565290565632).

255704064000 is an abundant number, since it is smaller than the sum of its proper divisors (874877067264).

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

255704064000 is a wasteful number, since it uses less digits than its factorization.

255704064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The spelling of 255704064000 in words is "two hundred fifty-five billion, seven hundred four million, sixty-four thousand".