815566772160 has 504 divisors, whose sum is σ = 3339116619696. Its totient is φ = 182078668800.

The previous prime is 815566772129. The next prime is 815566772177. The reversal of 815566772160 is 61277665518.

It is a happy number.

815566772160 is a `hidden beast` number, since 8 + 1 + 5 + 566 + 7 + 72 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 815566772097 and 815566772106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6000960 + ... + 6135360.

Almost surely, 2^815566772160 is an apocalyptic number.

815566772160 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 815566772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669558309848).

815566772160 is an abundant number, since it is smaller than the sum of its proper divisors (2523549847536).

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

815566772160 is a wasteful number, since it uses less digits than its factorization.

815566772160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134481 (or 134461 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 815566772160 in words is "eight hundred fifteen billion, five hundred sixty-six million, seven hundred seventy-two thousand, one hundred sixty".