255575855692080 has 2880 divisors, whose sum is σ = 1222144961716224. Its totient is φ = 48368760422400.

The previous prime is 255575855692057. The next prime is 255575855692099. The reversal of 255575855692080 is 80296558575552.

255575855692080 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 7 + 58 + 5 + 569 + 2 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 8677398634 + ... + 8677428086.

Almost surely, 2^{255575855692080} is an apocalyptic number.

255575855692080 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 255575855692080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611072480858112).

255575855692080 is an abundant number, since it is smaller than the sum of its proper divisors (966569106024144).

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

255575855692080 is a wasteful number, since it uses less digits than its factorization.

255575855692080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29558 (or 29529 counting only the distinct ones).

The product of its (nonzero) digits is 1512000000, while the sum is 72.

The spelling of 255575855692080 in words is "two hundred fifty-five trillion, five hundred seventy-five billion, eight hundred fifty-five million, six hundred ninety-two thousand, eighty".