813587982480 has 800 divisors, whose sum is σ = 3485060941824. Its totient is φ = 171299930112.

The previous prime is 813587982463. The next prime is 813587982511. The reversal of 813587982480 is 84289785318.

813587982480 is a `hidden beast` number, since 8 + 1 + 3 + 5 + 8 + 79 + 82 + 480 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 357934624 + ... + 357936896.

Almost surely, 2^813587982480 is an apocalyptic number.

813587982480 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 813587982480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742530470912).

813587982480 is an abundant number, since it is smaller than the sum of its proper divisors (2671472959344).

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

813587982480 is a wasteful number, since it uses less digits than its factorization.

813587982480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 813587982480 in words is "eight hundred thirteen billion, five hundred eighty-seven million, nine hundred eighty-two thousand, four hundred eighty".