2856252456000 has 1120 divisors, whose sum is σ = 11285878855680. Its totient is φ = 711535104000.

The previous prime is 2856252455923. The next prime is 2856252456011. The reversal of 2856252456000 is 6542526582.

It is a happy number.

2856252456000 is a `hidden beast` number, since 2 + 8 + 5 + 62 + 5 + 24 + 560 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 582549549 + ... + 582554451.

Almost surely, 2^{2856252456000} is an apocalyptic number.

2856252456000 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 2856252456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5642939427840).

2856252456000 is an abundant number, since it is smaller than the sum of its proper divisors (8429626399680).

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

2856252456000 is a wasteful number, since it uses less digits than its factorization.

2856252456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5002 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 2856252456000 in words is "two trillion, eight hundred fifty-six billion, two hundred fifty-two million, four hundred fifty-six thousand".