815348540160 has 2880 divisors, whose sum is σ = 3877153910784. Its totient is φ = 158721638400.

The previous prime is 815348540143. The next prime is 815348540173. The reversal of 815348540160 is 61045843518.

815348540160 is a `hidden beast` number, since 8 + 1 + 5 + 3 + 48 + 540 + 1 + 60 = 666.

815348540160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 15383934694 + ... + 15383934746.

Almost surely, 2^815348540160 is an apocalyptic number.

815348540160 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 815348540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938576955392).

815348540160 is an abundant number, since it is smaller than the sum of its proper divisors (3061805370624).

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

815348540160 is a wasteful number, since it uses less digits than its factorization.

815348540160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 815348540160 in words is "eight hundred fifteen billion, three hundred forty-eight million, five hundred forty thousand, one hundred sixty".