163991520000 has 2880 divisors, whose sum is σ = 827555097600. Its totient is φ = 30965760000.

The previous prime is 163991519999. The next prime is 163991520031. The reversal of 163991520000 is 25199361.

163991520000 is a `hidden beast` number, since 1 + 639 + 9 + 15 + 2 + 0 + 0 + 0 + 0 = 666.

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 (36).

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, 5654879986 + ... + 5654880014.

It is an arithmetic number, because the mean of its divisors is an integer number (287345520).

Almost surely, 2^163991520000 is an apocalyptic number.

163991520000 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 163991520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413777548800).

163991520000 is an abundant number, since it is smaller than the sum of its proper divisors (663563577600).

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

163991520000 is a wasteful number, since it uses less digits than its factorization.

163991520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 163991520000 in words is "one hundred sixty-three billion, nine hundred ninety-one million, five hundred twenty thousand".