190080561600 has 420 divisors, whose sum is σ = 701928170944. Its totient is φ = 50453176320.

The previous prime is 190080561571. The next prime is 190080561617. The reversal of 190080561600 is 6165080091.

190080561600 is a `hidden beast` number, since 1 + 90 + 0 + 8 + 0 + 561 + 6 + 0 + 0 = 666.

It is a super-2 number, since 2×190080561600² (a number of 23 digits) contains 22 as substring.

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 59 ways as a sum of consecutive naturals, for example, 28897512 + ... + 28904088.

Almost surely, 2^190080561600 is an apocalyptic number.

190080561600 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 190080561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350964085472).

190080561600 is an abundant number, since it is smaller than the sum of its proper divisors (511847609344).

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

190080561600 is a wasteful number, since it uses less digits than its factorization.

190080561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6834 (or 6810 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 190080561600 in words is "one hundred ninety billion, eighty million, five hundred sixty-one thousand, six hundred".