189714627385920 has 2688 divisors, whose sum is σ = 846068190105600. Its totient is φ = 39175674789888.

The previous prime is 189714627385861. The next prime is 189714627385937. The reversal of 189714627385920 is 29583726417981.

189714627385920 is a `hidden beast` number, since 1 + 8 + 9 + 7 + 1 + 4 + 6 + 27 + 3 + 8 + 592 + 0 = 666.

It is a super-2 number, since 2×189714627385920² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 95863883491 + ... + 95863885469.

It is an arithmetic number, because the mean of its divisors is an integer number (314757511200).

It is a 1-persistent number, because it is pandigital, but 2⋅189714627385920 = 379429254771840 is not.

Almost surely, 2^{189714627385920} is an apocalyptic number.

189714627385920 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 189714627385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423034095052800).

189714627385920 is an abundant number, since it is smaller than the sum of its proper divisors (656353562719680).

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

189714627385920 is a wasteful number, since it uses less digits than its factorization.

189714627385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 189714627385920 in words is "one hundred eighty-nine trillion, seven hundred fourteen billion, six hundred twenty-seven million, three hundred eighty-five thousand, nine hundred twenty".