189400780800 has 1872 divisors, whose sum is σ = 901244852352. Its totient is φ = 36805017600.

The previous prime is 189400780781. The next prime is 189400780819. The reversal of 189400780800 is 8087004981.

It is an interprime number because it is at equal distance from previous prime (189400780781) and next prime (189400780819).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1206374322 + ... + 1206374478.

It is an arithmetic number, because the mean of its divisors is an integer number (481434216).

Almost surely, 2^189400780800 is an apocalyptic number.

189400780800 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 189400780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450622426176).

189400780800 is an abundant number, since it is smaller than the sum of its proper divisors (711844071552).

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

189400780800 is a wasteful number, since it uses less digits than its factorization.

189400780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 189400780800 in words is "one hundred eighty-nine billion, four hundred million, seven hundred eighty thousand, eight hundred".