189297820800 has 1152 divisors, whose sum is σ = 802401768000. Its totient is φ = 43429478400.

The previous prime is 189297820787. The next prime is 189297820807. The reversal of 189297820800 is 8028792981.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (189297820807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 198633124 + ... + 198634076.

Almost surely, 2^189297820800 is an apocalyptic number.

189297820800 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 189297820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401200884000).

189297820800 is an abundant number, since it is smaller than the sum of its proper divisors (613103947200).

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

189297820800 is a wasteful number, since it uses less digits than its factorization.

189297820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 189297820800 in words is "one hundred eighty-nine billion, two hundred ninety-seven million, eight hundred twenty thousand, eight hundred".