189831327840 has 576 divisors, whose sum is σ = 837572037120. Its totient is φ = 39444848640.

The previous prime is 189831327821. The next prime is 189831327923. The reversal of 189831327840 is 48723138981.

It is a happy number.

189831327840 is a `hidden beast` number, since 18 + 9 + 8 + 313 + 278 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2962056 + ... + 3025464.

It is an arithmetic number, because the mean of its divisors is an integer number (1454118120).

Almost surely, 2^189831327840 is an apocalyptic number.

189831327840 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 189831327840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418786018560).

189831327840 is an abundant number, since it is smaller than the sum of its proper divisors (647740709280).

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

189831327840 is a wasteful number, since it uses less digits than its factorization.

189831327840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63457 (or 63437 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 189831327840 in words is "one hundred eighty-nine billion, eight hundred thirty-one million, three hundred twenty-seven thousand, eight hundred forty".