255757501440 has 1056 divisors, whose sum is σ = 1054500685056. Its totient is φ = 56104058880.

The previous prime is 255757501427. The next prime is 255757501459. The reversal of 255757501440 is 44105757552.

255757501440 is a `hidden beast` number, since 2 + 5 + 57 + 57 + 501 + 4 + 40 = 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 95 ways as a sum of consecutive naturals, for example, 1097671564 + ... + 1097671796.

Almost surely, 2^255757501440 is an apocalyptic number.

255757501440 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 255757501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527250342528).

255757501440 is an abundant number, since it is smaller than the sum of its proper divisors (798743183616).

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

255757501440 is a wasteful number, since it uses less digits than its factorization.

255757501440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 980000, while the sum is 45.

The spelling of 255757501440 in words is "two hundred fifty-five billion, seven hundred fifty-seven million, five hundred one thousand, four hundred forty".