813809112480 has 960 divisors, whose sum is σ = 3568442169600. Its totient is φ = 170073686016.

The previous prime is 813809112461. The next prime is 813809112491. The reversal of 813809112480 is 84211908318.

813809112480 is a `hidden beast` number, since 8 + 1 + 3 + 80 + 91 + 1 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 126188296 + ... + 126194744.

It is an arithmetic number, because the mean of its divisors is an integer number (3717127260).

Almost surely, 2^813809112480 is an apocalyptic number.

813809112480 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 813809112480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784221084800).

813809112480 is an abundant number, since it is smaller than the sum of its proper divisors (2754633057120).

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

813809112480 is a wasteful number, since it uses less digits than its factorization.

813809112480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6603 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 813809112480 in words is "eight hundred thirteen billion, eight hundred nine million, one hundred twelve thousand, four hundred eighty".