2856118224960 has 4032 divisors, whose sum is σ = 14650531430400. Its totient is φ = 516276633600.

The previous prime is 2856118224901. The next prime is 2856118224991. The reversal of 2856118224960 is 694228116582.

2856118224960 is a `hidden beast` number, since 2 + 8 + 561 + 18 + 2 + 2 + 4 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×2856118224960² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2856118224897 and 2856118224906.

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 575 ways as a sum of consecutive naturals, for example, 14953498465 + ... + 14953498655.

Almost surely, 2^{2856118224960} is an apocalyptic number.

2856118224960 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 2856118224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7325265715200).

2856118224960 is an abundant number, since it is smaller than the sum of its proper divisors (11794413205440).

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

2856118224960 is a wasteful number, since it uses less digits than its factorization.

2856118224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 2856118224960 in words is "two trillion, eight hundred fifty-six billion, one hundred eighteen million, two hundred twenty-four thousand, nine hundred sixty".