189072259200 has 576 divisors, whose sum is σ = 779300701920. Its totient is φ = 43138252800.

The previous prime is 189072259199. The next prime is 189072259249. The reversal of 189072259200 is 2952270981.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 5368047 + ... + 5403153.

Almost surely, 2^189072259200 is an apocalyptic number.

189072259200 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 189072259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389650350960).

189072259200 is an abundant number, since it is smaller than the sum of its proper divisors (590228442720).

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

189072259200 is a wasteful number, since it uses less digits than its factorization.

189072259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35165 (or 35145 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 189072259200 in words is "one hundred eighty-nine billion, seventy-two million, two hundred fifty-nine thousand, two hundred".