255977462304 has 480 divisors, whose sum is σ = 828004161600. Its totient is φ = 77284730880.

The previous prime is 255977462287. The next prime is 255977462329. The reversal of 255977462304 is 403264779552.

255977462304 is a `hidden beast` number, since 2 + 5 + 5 + 9 + 7 + 7 + 4 + 623 + 0 + 4 = 666.

It is a super-2 number, since 2×255977462304² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 107507194 + ... + 107509574.

It is an arithmetic number, because the mean of its divisors is an integer number (1725008670).

Almost surely, 2^255977462304 is an apocalyptic number.

255977462304 is a gapful number since it is divisible by the number (24) 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 255977462304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414002080800).

255977462304 is an abundant number, since it is smaller than the sum of its proper divisors (572026699296).

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

255977462304 is a wasteful number, since it uses less digits than its factorization.

255977462304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 255977462304 in words is "two hundred fifty-five billion, nine hundred seventy-seven million, four hundred sixty-two thousand, three hundred four".