190513680000 has 640 divisors, whose sum is σ = 728454819840. Its totient is φ = 43200000000.

The previous prime is 190513679981. The next prime is 190513680001. The reversal of 190513680000 is 86315091.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190513680001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 253679625 + ... + 253680375.

It is an arithmetic number, because the mean of its divisors is an integer number (1138210656).

Almost surely, 2^190513680000 is an apocalyptic number.

190513680000 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 190513680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364227409920).

190513680000 is an abundant number, since it is smaller than the sum of its proper divisors (537941139840).

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

190513680000 is an equidigital number, since it uses as much as digits as its factorization.

190513680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

Adding to 190513680000 its reverse (86315091), we get a palindrome (190599995091).

The spelling of 190513680000 in words is "one hundred ninety billion, five hundred thirteen million, six hundred eighty thousand".