10163728800 has 576 divisors, whose sum is σ = 39484972800. Its totient is φ = 2514124800.

The previous prime is 10163728787. The next prime is 10163728807. The reversal of 10163728800 is 882736101.

10163728800 is a `hidden beast` number, since 10 + 1 + 637 + 2 + 8 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10163728807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32680645 + ... + 32680955.

It is an arithmetic number, because the mean of its divisors is an integer number (68550300).

Almost surely, 2^10163728800 is an apocalyptic number.

10163728800 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 10163728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19742486400).

10163728800 is an abundant number, since it is smaller than the sum of its proper divisors (29321244000).

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

10163728800 is a wasteful number, since it uses less digits than its factorization.

10163728800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10163728800 in words is "ten billion, one hundred sixty-three million, seven hundred twenty-eight thousand, eight hundred".