255167056320 has 448 divisors, whose sum is σ = 924032655360. Its totient is φ = 59053772800.

The previous prime is 255167056303. The next prime is 255167056337. The reversal of 255167056320 is 23650761552.

It is an interprime number because it is at equal distance from previous prime (255167056303) and next prime (255167056337).

It is a super-2 number, since 2×255167056320² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 247494205 + ... + 247495235.

Almost surely, 2^255167056320 is an apocalyptic number.

255167056320 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 255167056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462016327680).

255167056320 is an abundant number, since it is smaller than the sum of its proper divisors (668865599040).

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

255167056320 is a wasteful number, since it uses less digits than its factorization.

255167056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The spelling of 255167056320 in words is "two hundred fifty-five billion, one hundred sixty-seven million, fifty-six thousand, three hundred twenty".