812720175905520 has 640 divisors, whose sum is σ = 2893893658951680. Its totient is φ = 209428070952960.

The previous prime is 812720175905501. The next prime is 812720175905531. The reversal of 812720175905520 is 25509571027218.

812720175905520 is a `hidden beast` number, since 8 + 1 + 2 + 7 + 20 + 1 + 7 + 5 + 90 + 5 + 520 = 666.

812720175905520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 230428173997 + ... + 230428177523.

It is an arithmetic number, because the mean of its divisors is an integer number (4521708842112).

Almost surely, 2^{812720175905520} is an apocalyptic number.

812720175905520 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 812720175905520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446946829475840).

812720175905520 is an abundant number, since it is smaller than the sum of its proper divisors (2081173483046160).

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

812720175905520 is a wasteful number, since it uses less digits than its factorization.

812720175905520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7630 (or 7618 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 54.

The spelling of 812720175905520 in words is "eight hundred twelve trillion, seven hundred twenty billion, one hundred seventy-five million, nine hundred five thousand, five hundred twenty".