812975121705600 has 3840 divisors, whose sum is σ = 3703924049760000. Its totient is φ = 175218854952960.

The previous prime is 812975121705589. The next prime is 812975121705689. The reversal of 812975121705600 is 6507121579218.

812975121705600 is a `hidden beast` number, since 8 + 1 + 2 + 9 + 7 + 5 + 1 + 2 + 1 + 70 + 560 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 110865279534 + ... + 110865286866.

It is an arithmetic number, because the mean of its divisors is an integer number (964563554625).

Almost surely, 2^{812975121705600} is an apocalyptic number.

812975121705600 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 812975121705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851962024880000).

812975121705600 is an abundant number, since it is smaller than the sum of its proper divisors (2890948928054400).

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

812975121705600 is a wasteful number, since it uses less digits than its factorization.

812975121705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7462 (or 7422 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 54.

The spelling of 812975121705600 in words is "eight hundred twelve trillion, nine hundred seventy-five billion, one hundred twenty-one million, seven hundred five thousand, six hundred".