255151716624 has 360 divisors, whose sum is σ = 848294521152. Its totient is φ = 70128737280.

The previous prime is 255151716587. The next prime is 255151716683. The reversal of 255151716624 is 426617151552.

255151716624 is a `hidden beast` number, since 2 + 5 + 5 + 1 + 5 + 1 + 7 + 16 + 624 = 666.

255151716624 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 255151716624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 416234142 + ... + 416234754.

Almost surely, 2^255151716624 is an apocalyptic number.

255151716624 is a gapful number since it is divisible by the number (24) 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 255151716624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424147260576).

255151716624 is an abundant number, since it is smaller than the sum of its proper divisors (593142804528).

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

255151716624 is a wasteful number, since it uses less digits than its factorization.

255151716624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1145 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The spelling of 255151716624 in words is "two hundred fifty-five billion, one hundred fifty-one million, seven hundred sixteen thousand, six hundred twenty-four".