189931219520 has 112 divisors (see below), whose sum is σ = 517492609920. Its totient is φ = 65042632704.

The previous prime is 189931219493. The next prime is 189931219547. The reversal of 189931219520 is 25912139981.

It is an interprime number because it is at equal distance from previous prime (189931219493) and next prime (189931219547).

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1870211 + ... + 1969149.

Almost surely, 2^189931219520 is an apocalyptic number.

189931219520 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 189931219520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258746304960).

189931219520 is an abundant number, since it is smaller than the sum of its proper divisors (327561390400).

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

189931219520 is an equidigital number, since it uses as much as digits as its factorization.

189931219520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99820 (or 99810 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 50.

The spelling of 189931219520 in words is "one hundred eighty-nine billion, nine hundred thirty-one million, two hundred nineteen thousand, five hundred twenty".