163815125760 has 1728 divisors, whose sum is σ = 719969402880. Its totient is φ = 35115171840.

The previous prime is 163815125743. The next prime is 163815125783. The reversal of 163815125760 is 67521518361.

163815125760 is a `hidden beast` number, since 1 + 6 + 3 + 81 + 512 + 57 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 1289882817 + ... + 1289882943.

It is an arithmetic number, because the mean of its divisors is an integer number (416648960).

Almost surely, 2^163815125760 is an apocalyptic number.

163815125760 is a gapful number since it is divisible by the number (10) 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 163815125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359984701440).

163815125760 is an abundant number, since it is smaller than the sum of its proper divisors (556154277120).

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

163815125760 is a wasteful number, since it uses less digits than its factorization.

163815125760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 163815125760 in words is "one hundred sixty-three billion, eight hundred fifteen million, one hundred twenty-five thousand, seven hundred sixty".