813048001920 has 512 divisors, whose sum is σ = 3590087961600. Its totient is φ = 168944762880.

The previous prime is 813048001847. The next prime is 813048001963. The reversal of 813048001920 is 29100840318.

It is a super-2 number, since 2×813048001920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1025032 + ... + 1636088.

It is an arithmetic number, because the mean of its divisors is an integer number (7011890550).

Almost surely, 2^813048001920 is an apocalyptic number.

813048001920 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 813048001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795043980800).

813048001920 is an abundant number, since it is smaller than the sum of its proper divisors (2777039959680).

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

813048001920 is a wasteful number, since it uses less digits than its factorization.

813048001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611103 (or 611085 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 813048001920 in words is "eight hundred thirteen billion, forty-eight million, one thousand, nine hundred twenty".