255649030704000 has 1536 divisors, whose sum is σ = 968602392576000. Its totient is φ = 64492775424000.

The previous prime is 255649030703893. The next prime is 255649030704007. The reversal of 255649030704000 is 407030946552.

255649030704000 is a `hidden beast` number, since 2 + 5 + 5 + 64 + 90 + 30 + 70 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255649030704007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 119294926929 + ... + 119294929071.

It is an arithmetic number, because the mean of its divisors is an integer number (630600516000).

Almost surely, 2^{255649030704000} is an apocalyptic number.

255649030704000 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 255649030704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484301196288000).

255649030704000 is an abundant number, since it is smaller than the sum of its proper divisors (712953361872000).

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

255649030704000 is a wasteful number, since it uses less digits than its factorization.

255649030704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 255649030704000 in words is "two hundred fifty-five trillion, six hundred forty-nine billion, thirty million, seven hundred four thousand".