813720488000 has 448 divisors, whose sum is σ = 2410295586816. Its totient is φ = 266250240000.

The previous prime is 813720487967. The next prime is 813720488057. The reversal of 813720488000 is 884027318.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126724790 + ... + 126731210.

Almost surely, 2^813720488000 is an apocalyptic number.

813720488000 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 813720488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205147793408).

813720488000 is an abundant number, since it is smaller than the sum of its proper divisors (1596575098816).

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

813720488000 is a wasteful number, since it uses less digits than its factorization.

813720488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6559 (or 6539 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The spelling of 813720488000 in words is "eight hundred thirteen billion, seven hundred twenty million, four hundred eighty-eight thousand".