189897960000 has 560 divisors, whose sum is σ = 722081360000. Its totient is φ = 43130880000.

The previous prime is 189897959983. The next prime is 189897960023. The reversal of 189897960000 is 69798981.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×189897960000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 152039376 + ... + 152040624.

It is an arithmetic number, because the mean of its divisors is an integer number (1289431000).

Almost surely, 2^189897960000 is an apocalyptic number.

189897960000 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 189897960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361040680000).

189897960000 is an abundant number, since it is smaller than the sum of its proper divisors (532183400000).

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

189897960000 is a wasteful number, since it uses less digits than its factorization.

189897960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 57.

The spelling of 189897960000 in words is "one hundred eighty-nine billion, eight hundred ninety-seven million, nine hundred sixty thousand".