813984997500 has 480 divisors, whose sum is σ = 2720965262400. Its totient is φ = 212967144000.

The previous prime is 813984997417. The next prime is 813984997517. The reversal of 813984997500 is 5799489318.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

813984997500 is a `hidden beast` number, since 8 + 1 + 3 + 98 + 499 + 7 + 50 + 0 = 666.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 11925 × 7155 × 9540.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15358207474 + ... + 15358207526.

It is an arithmetic number, because the mean of its divisors is an integer number (5668677630).

Almost surely, 2^813984997500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813984997500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360482631200).

813984997500 is an abundant number, since it is smaller than the sum of its proper divisors (1906980264900).

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

813984997500 is an frugal number, since it uses more digits than its factorization.

813984997500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 813984997500 in words is "eight hundred thirteen billion, nine hundred eighty-four million, nine hundred ninety-seven thousand, five hundred".