255167677440 has 1760 divisors, whose sum is σ = 1078567902720. Its totient is φ = 57139789824.

The previous prime is 255167677439. The next prime is 255167677463. The reversal of 255167677440 is 44776761552.

255167677440 is a `hidden beast` number, since 2 + 55 + 16 + 76 + 77 + 440 = 666.

It is a super-2 number, since 2×255167677440² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4814484454 + ... + 4814484506.

It is an arithmetic number, because the mean of its divisors is an integer number (612822672).

Almost surely, 2^255167677440 is an apocalyptic number.

255167677440 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 255167677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539283951360).

255167677440 is an abundant number, since it is smaller than the sum of its proper divisors (823400225280).

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

255167677440 is a wasteful number, since it uses less digits than its factorization.

255167677440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 255167677440 in words is "two hundred fifty-five billion, one hundred sixty-seven million, six hundred seventy-seven thousand, four hundred forty".