190996560242800 has 360 divisors, whose sum is σ = 500591975420160. Its totient is φ = 69996913459200.

The previous prime is 190996560242783. The next prime is 190996560242869. The reversal of 190996560242800 is 8242065699091.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5900585016 + ... + 5900617384.

It is an arithmetic number, because the mean of its divisors is an integer number (1390533265056).

Almost surely, 2^{190996560242800} is an apocalyptic number.

190996560242800 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 190996560242800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250295987710080).

190996560242800 is an abundant number, since it is smaller than the sum of its proper divisors (309595415177360).

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

190996560242800 is a wasteful number, since it uses less digits than its factorization.

190996560242800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33061 (or 33037 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 61.

The spelling of 190996560242800 in words is "one hundred ninety trillion, nine hundred ninety-six billion, five hundred sixty million, two hundred forty-two thousand, eight hundred".