255878642073600 has 2448 divisors, whose sum is σ = 1155895779851904. Its totient is φ = 52659486720000.

The previous prime is 255878642073581. The next prime is 255878642073611. The reversal of 255878642073600 is 6370246878552.

255878642073600 is a `hidden beast` number, since 2 + 5 + 5 + 8 + 7 + 8 + 64 + 207 + 360 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55015831275 + ... + 55015835925.

Almost surely, 2^{255878642073600} is an apocalyptic number.

255878642073600 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 255878642073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577947889925952).

255878642073600 is an abundant number, since it is smaller than the sum of its proper divisors (900017137778304).

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

255878642073600 is a wasteful number, since it uses less digits than its factorization.

255878642073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4760 (or 4722 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 255878642073600 in words is "two hundred fifty-five trillion, eight hundred seventy-eight billion, six hundred forty-two million, seventy-three thousand, six hundred".