190081520640 has 2112 divisors, whose sum is σ = 849780771840. Its totient is φ = 40131624960.

The previous prime is 190081520639. The next prime is 190081520653. The reversal of 190081520640 is 46025180091.

190081520640 is a `hidden beast` number, since 1 + 9 + 0 + 0 + 8 + 1 + 5 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×190081520640² (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 junction number, because it is equal to n+sod(n) for n = 190081520595 and 190081520604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4420500459 + ... + 4420500501.

It is an arithmetic number, because the mean of its divisors is an integer number (402358320).

Almost surely, 2^190081520640 is an apocalyptic number.

190081520640 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 190081520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424890385920).

190081520640 is an abundant number, since it is smaller than the sum of its proper divisors (659699251200).

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

190081520640 is a wasteful number, since it uses less digits than its factorization.

190081520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 190081520640 in words is "one hundred ninety billion, eighty-one million, five hundred twenty thousand, six hundred forty".