255545079552000 has 1536 divisors, whose sum is σ = 1086954785280000. Its totient is φ = 58016651673600.

The previous prime is 255545079551987. The next prime is 255545079552029. The reversal of 255545079552000 is 255970545552.

255545079552000 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 45 + 0 + 79 + 5 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7209198277 + ... + 7209233723.

It is an arithmetic number, because the mean of its divisors is an integer number (707652855000).

Almost surely, 2^{255545079552000} is an apocalyptic number.

255545079552000 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 255545079552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543477392640000).

255545079552000 is an abundant number, since it is smaller than the sum of its proper divisors (831409705728000).

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

255545079552000 is a wasteful number, since it uses less digits than its factorization.

255545079552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35649 (or 35613 counting only the distinct ones).

The product of its (nonzero) digits is 15750000, while the sum is 54.

The spelling of 255545079552000 in words is "two hundred fifty-five trillion, five hundred forty-five billion, seventy-nine million, five hundred fifty-two thousand".