16488195796800 has 4032 divisors, whose sum is σ = 80431572049920. Its totient is φ = 3223429447680.

The previous prime is 16488195796759. The next prime is 16488195796861. The reversal of 16488195796800 is 869759188461.

16488195796800 is a `hidden beast` number, since 1 + 6 + 48 + 8 + 1 + 9 + 579 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×16488195796800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 47516414227 + ... + 47516414573.

It is an arithmetic number, because the mean of its divisors is an integer number (19948306560).

Almost surely, 2^{16488195796800} is an apocalyptic number.

16488195796800 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 16488195796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40215786024960).

16488195796800 is an abundant number, since it is smaller than the sum of its proper divisors (63943376253120).

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

16488195796800 is a wasteful number, since it uses less digits than its factorization.

16488195796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 16488195796800 in words is "sixteen trillion, four hundred eighty-eight billion, one hundred ninety-five million, seven hundred ninety-six thousand, eight hundred".