255717403920 has 320 divisors, whose sum is σ = 965723904000. Its totient is φ = 61679439360.

The previous prime is 255717403897. The next prime is 255717403937. The reversal of 255717403920 is 29304717552.

It is a happy number.

255717403920 is a `hidden beast` number, since 2 + 5 + 571 + 7 + 40 + 39 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4701199 + ... + 4755281.

It is an arithmetic number, because the mean of its divisors is an integer number (3017887200).

Almost surely, 2^255717403920 is an apocalyptic number.

255717403920 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 255717403920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482861952000).

255717403920 is an abundant number, since it is smaller than the sum of its proper divisors (710006500080).

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

255717403920 is a wasteful number, since it uses less digits than its factorization.

255717403920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54315 (or 54303 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 255717403920 in words is "two hundred fifty-five billion, seven hundred seventeen million, four hundred three thousand, nine hundred twenty".