812904284160 has 952 divisors, whose sum is σ = 3032540444304. Its totient is φ = 208939253760.

The previous prime is 812904284147. The next prime is 812904284233. The reversal of 812904284160 is 61482409218.

812904284160 is a `hidden beast` number, since 8 + 129 + 0 + 428 + 41 + 60 = 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 polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9794027479 + ... + 9794027561.

Almost surely, 2^812904284160 is an apocalyptic number.

812904284160 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 812904284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516270222152).

812904284160 is an abundant number, since it is smaller than the sum of its proper divisors (2219636160144).

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

812904284160 is an frugal number, since it uses more digits than its factorization.

812904284160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 812904284160 in words is "eight hundred twelve billion, nine hundred four million, two hundred eighty-four thousand, one hundred sixty".