255519179868960 has 2304 divisors, whose sum is σ = 1136678112460800. Its totient is φ = 52852248244224.

The previous prime is 255519179868949. The next prime is 255519179869001. The reversal of 255519179868960 is 69868971915552.

255519179868960 is a `hidden beast` number, since 2 + 5 + 5 + 519 + 1 + 7 + 9 + 8 + 6 + 8 + 96 + 0 = 666.

It is a super-3 number, since 3×255519179868960³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 255519179868960.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 157825311031 + ... + 157825312649.

It is an arithmetic number, because the mean of its divisors is an integer number (493349875200).

Almost surely, 2^{255519179868960} is an apocalyptic number.

255519179868960 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 255519179868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568339056230400).

255519179868960 is an abundant number, since it is smaller than the sum of its proper divisors (881158932591840).

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

255519179868960 is a wasteful number, since it uses less digits than its factorization.

255519179868960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 2939328000, while the sum is 81.

The spelling of 255519179868960 in words is "two hundred fifty-five trillion, five hundred nineteen billion, one hundred seventy-nine million, eight hundred sixty-eight thousand, nine hundred sixty".