163930132800 has 2016 divisors, whose sum is σ = 748405432320. Its totient is φ = 34488115200.

The previous prime is 163930132799. The next prime is 163930132811. The reversal of 163930132800 is 8231039361.

163930132800 is a `hidden beast` number, since 1 + 639 + 3 + 0 + 13 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2446718367 + ... + 2446718433.

Almost surely, 2^163930132800 is an apocalyptic number.

163930132800 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 163930132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374202716160).

163930132800 is an abundant number, since it is smaller than the sum of its proper divisors (584475299520).

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

163930132800 is a wasteful number, since it uses less digits than its factorization.

163930132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 163930132800 in words is "one hundred sixty-three billion, nine hundred thirty million, one hundred thirty-two thousand, eight hundred".