189923328038400 has 480 divisors, whose sum is σ = 720459181411200. Its totient is φ = 43618752921600.

The previous prime is 189923328038383. The next prime is 189923328038413. The reversal of 189923328038400 is 4830823329981.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3806745 + ... + 19857944.

It is an arithmetic number, because the mean of its divisors is an integer number (1500956627940).

Almost surely, 2^{189923328038400} is an apocalyptic number.

189923328038400 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 189923328038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360229590705600).

189923328038400 is an abundant number, since it is smaller than the sum of its proper divisors (530535853372800).

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

189923328038400 is a wasteful number, since it uses less digits than its factorization.

189923328038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23664750 (or 23664729 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 189923328038400 in words is "one hundred eighty-nine trillion, nine hundred twenty-three billion, three hundred twenty-eight million, thirty-eight thousand, four hundred".