255613857408 has 768 divisors, whose sum is σ = 944230809600. Its totient is φ = 66650148864.

The previous prime is 255613857383. The next prime is 255613857419. The reversal of 255613857408 is 804758316552.

255613857408 is a `hidden beast` number, since 2 + 5 + 5 + 61 + 3 + 8 + 574 + 0 + 8 = 666.

255613857408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 421109841 + ... + 421110447.

It is an arithmetic number, because the mean of its divisors is an integer number (1229467200).

Almost surely, 2^255613857408 is an apocalyptic number.

255613857408 is a gapful number since it is divisible by the number (28) 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 255613857408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472115404800).

255613857408 is an abundant number, since it is smaller than the sum of its proper divisors (688616952192).

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

255613857408 is a wasteful number, since it uses less digits than its factorization.

255613857408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 255613857408 in words is "two hundred fifty-five billion, six hundred thirteen million, eight hundred fifty-seven thousand, four hundred eight".