190085253120 has 864 divisors, whose sum is σ = 795254241600. Its totient is φ = 43420188672.

The previous prime is 190085253107. The next prime is 190085253131. The reversal of 190085253120 is 21352580091.

190085253120 is a `hidden beast` number, since 1 + 9 + 0 + 0 + 8 + 525 + 3 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×190085253120² (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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 121926901 + ... + 121928459.

It is an arithmetic number, because the mean of its divisors is an integer number (920433150).

Almost surely, 2^190085253120 is an apocalyptic number.

190085253120 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 190085253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397627120800).

190085253120 is an abundant number, since it is smaller than the sum of its proper divisors (605168988480).

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

190085253120 is an equidigital number, since it uses as much as digits as its factorization.

190085253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 190085253120 in words is "one hundred ninety billion, eighty-five million, two hundred fifty-three thousand, one hundred twenty".