2555311224960 has 640 divisors, whose sum is σ = 9861740325360. Its totient is φ = 626804490240.

The previous prime is 2555311224931. The next prime is 2555311224979. The reversal of 2555311224960 is 694221135552.

2555311224960 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 31 + 122 + 496 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1641206961216 + 914104263744 = 1281096^2 + 956088^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 197452090 + ... + 197465030.

Almost surely, 2^{2555311224960} is an apocalyptic number.

2555311224960 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 2555311224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930870162680).

2555311224960 is an abundant number, since it is smaller than the sum of its proper divisors (7306429100400).

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

2555311224960 is a wasteful number, since it uses less digits than its factorization.

2555311224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13278 (or 13257 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 2555311224960 in words is "two trillion, five hundred fifty-five billion, three hundred eleven million, two hundred twenty-four thousand, nine hundred sixty".