1275142564800 has 840 divisors, whose sum is σ = 5059260936576. Its totient is φ = 313160048640.

The previous prime is 1275142564799. The next prime is 1275142564841. The reversal of 1275142564800 is 84652415721.

1275142564800 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 1 + 4 + 2 + 564 + 80 + 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 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 119 ways as a sum of consecutive naturals, for example, 1453981962 + ... + 1453982838.

Almost surely, 2^{1275142564800} is an apocalyptic number.

1275142564800 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 1275142564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529630468288).

1275142564800 is an abundant number, since it is smaller than the sum of its proper divisors (3784118371776).

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

1275142564800 is a wasteful number, since it uses less digits than its factorization.

1275142564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 1275142564800 in words is "one trillion, two hundred seventy-five billion, one hundred forty-two million, five hundred sixty-four thousand, eight hundred".