255372988416 has 832 divisors, whose sum is σ = 887741890560. Its totient is φ = 63488655360.

The previous prime is 255372988397. The next prime is 255372988441. The reversal of 255372988416 is 614889273552.

It is a tau number, because it is divible by the number of its divisors (832).

Its product of digits (29030400) is a multiple of the sum of its prime factors (270).

It is a self number, because there is not a number n which added to its sum of digits gives 255372988416.

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, 1837215675 + ... + 1837215813.

Almost surely, 2^255372988416 is an apocalyptic number.

255372988416 is a gapful number since it is divisible by the number (26) 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 255372988416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443870945280).

255372988416 is an abundant number, since it is smaller than the sum of its proper divisors (632368902144).

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

255372988416 is a wasteful number, since it uses less digits than its factorization.

255372988416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 248 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 60.

The spelling of 255372988416 in words is "two hundred fifty-five billion, three hundred seventy-two million, nine hundred eighty-eight thousand, four hundred sixteen".