16101969976000 has 224 divisors, whose sum is σ = 43422729105600. Its totient is φ = 5891390668800.

The previous prime is 16101969975989. The next prime is 16101969976069. The reversal of 16101969976000 is 67996910161.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2581552 + ... + 6234448.

Almost surely, 2^{16101969976000} is an apocalyptic number.

16101969976000 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 16101969976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21711364552800).

16101969976000 is an abundant number, since it is smaller than the sum of its proper divisors (27320759129600).

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

16101969976000 is a wasteful number, since it uses less digits than its factorization.

16101969976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3652972 (or 3652952 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 55.

The spelling of 16101969976000 in words is "sixteen trillion, one hundred one billion, nine hundred sixty-nine million, nine hundred seventy-six thousand".