812567972160 has 1008 divisors, whose sum is σ = 3394465087104. Its totient is φ = 184473096192.

The previous prime is 812567972159. The next prime is 812567972191. The reversal of 812567972160 is 61279765218.

812567972160 is a `hidden beast` number, since 8 + 1 + 2 + 567 + 9 + 72 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 = 812567972097 and 812567972106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 636309442 + ... + 636310718.

It is an arithmetic number, because the mean of its divisors is an integer number (3367524888).

Almost surely, 2^812567972160 is an apocalyptic number.

812567972160 is a gapful number since it is divisible by the number (80) 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 812567972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697232543552).

812567972160 is an abundant number, since it is smaller than the sum of its proper divisors (2581897114944).

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

812567972160 is a wasteful number, since it uses less digits than its factorization.

812567972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 812567972160 in words is "eight hundred twelve billion, five hundred sixty-seven million, nine hundred seventy-two thousand, one hundred sixty".