815483703202560 has 3456 divisors, whose sum is σ = 3622298305167360. Its totient is φ = 165236391936000.

The previous prime is 815483703202523. The next prime is 815483703202627. The reversal of 815483703202560 is 65202307384518.

815483703202560 is a `hidden beast` number, since 8 + 1 + 5 + 4 + 8 + 3 + 70 + 3 + 2 + 0 + 2 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 815483703202497 and 815483703202506.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 211758944635 + ... + 211758948485.

It is an arithmetic number, because the mean of its divisors is an integer number (1048118722560).

Almost surely, 2^{815483703202560} is an apocalyptic number.

815483703202560 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 815483703202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811149152583680).

815483703202560 is an abundant number, since it is smaller than the sum of its proper divisors (2806814601964800).

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

815483703202560 is a wasteful number, since it uses less digits than its factorization.

815483703202560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4095 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 815483703202560 in words is "eight hundred fifteen trillion, four hundred eighty-three billion, seven hundred three million, two hundred two thousand, five hundred sixty".