189931996800 has 3072 divisors, whose sum is σ = 956188800000. Its totient is φ = 36415733760.

The previous prime is 189931996781. The next prime is 189931996823. The reversal of 189931996800 is 8699139981.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6549379186 + ... + 6549379214.

It is an arithmetic number, because the mean of its divisors is an integer number (311259375).

Almost surely, 2^189931996800 is an apocalyptic number.

189931996800 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 189931996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478094400000).

189931996800 is an abundant number, since it is smaller than the sum of its proper divisors (766256803200).

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

189931996800 is a wasteful number, since it uses less digits than its factorization.

189931996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 63.

The spelling of 189931996800 in words is "one hundred eighty-nine billion, nine hundred thirty-one million, nine hundred ninety-six thousand, eight hundred".