163721913120 has 768 divisors, whose sum is σ = 606154752000. Its totient is φ = 41234558976.

The previous prime is 163721913083. The next prime is 163721913133. The reversal of 163721913120 is 21319127361.

163721913120 is a `hidden beast` number, since 1 + 637 + 2 + 1 + 9 + 1 + 3 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 946369354 + ... + 946369526.

It is an arithmetic number, because the mean of its divisors is an integer number (789264000).

Almost surely, 2^163721913120 is an apocalyptic number.

163721913120 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 163721913120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303077376000).

163721913120 is an abundant number, since it is smaller than the sum of its proper divisors (442432838880).

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

163721913120 is a wasteful number, since it uses less digits than its factorization.

163721913120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 163721913120 in words is "one hundred sixty-three billion, seven hundred twenty-one million, nine hundred thirteen thousand, one hundred twenty".