813501480960 has 1344 divisors, whose sum is σ = 3429632669400. Its totient is φ = 184605474816.

The previous prime is 813501480959. The next prime is 813501480973. The reversal of 813501480960 is 69084105318.

813501480960 is a `hidden beast` number, since 8 + 1 + 3 + 501 + 4 + 80 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×813501480960² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5852528571 + ... + 5852528709.

Almost surely, 2^813501480960 is an apocalyptic number.

813501480960 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 813501480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714816334700).

813501480960 is an abundant number, since it is smaller than the sum of its proper divisors (2616131188440).

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

813501480960 is an frugal number, since it uses more digits than its factorization.

813501480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 813501480960 in words is "eight hundred thirteen billion, five hundred one million, four hundred eighty thousand, nine hundred sixty".