255165311520000 has 1080 divisors, whose sum is σ = 1070496309826944. Its totient is φ = 57222936576000.

The previous prime is 255165311519953. The next prime is 255165311520001. The reversal of 255165311520000 is 25113561552.

255165311520000 is a `hidden beast` number, since 2 + 5 + 516 + 5 + 3 + 115 + 20 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255165311520001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 534001189 + ... + 534478811.

Almost surely, 2^{255165311520000} is an apocalyptic number.

255165311520000 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 255165311520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535248154913472).

255165311520000 is an abundant number, since it is smaller than the sum of its proper divisors (815330998306944).

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

255165311520000 is an equidigital number, since it uses as much as digits as its factorization.

255165311520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477725 (or 477693 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 255165311520000 in words is "two hundred fifty-five trillion, one hundred sixty-five billion, three hundred eleven million, five hundred twenty thousand".