1256852872800 has 576 divisors, whose sum is σ = 5468424998400. Its totient is φ = 272160000000.

The previous prime is 1256852872789. The next prime is 1256852872801. The reversal of 1256852872800 is 82782586521.

1256852872800 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 85 + 287 + 280 + 0 = 666.

It is a super-2 number, since 2×1256852872800² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256852872801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2654050 + ... + 3091550.

It is an arithmetic number, because the mean of its divisors is an integer number (9493793400).

Almost surely, 2^{1256852872800} is an apocalyptic number.

1256852872800 is a gapful number since it is divisible by the number (10) 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 1256852872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734212499200).

1256852872800 is an abundant number, since it is smaller than the sum of its proper divisors (4211572125600).

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

1256852872800 is a wasteful number, since it uses less digits than its factorization.

1256852872800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437556 (or 437537 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 1256852872800 in words is "one trillion, two hundred fifty-six billion, eight hundred fifty-two million, eight hundred seventy-two thousand, eight hundred".