813389713920 has 1800 divisors, whose sum is σ = 3613019299956. Its totient is φ = 174349615104.

The previous prime is 813389713907. The next prime is 813389713949. The reversal of 813389713920 is 29317983318.

813389713920 is a `hidden beast` number, since 81 + 33 + 89 + 71 + 392 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 443939698944 + 369450014976 = 666288^2 + 607824^2 .

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 179 ways as a sum of consecutive naturals, for example, 2936424822 + ... + 2936425098.

Almost surely, 2^813389713920 is an apocalyptic number.

813389713920 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 813389713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806509649978).

813389713920 is an abundant number, since it is smaller than the sum of its proper divisors (2799629586036).

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

813389713920 is a wasteful number, since it uses less digits than its factorization.

813389713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 813389713920 in words is "eight hundred thirteen billion, three hundred eighty-nine million, seven hundred thirteen thousand, nine hundred twenty".