189827578080 has 768 divisors, whose sum is σ = 809321103360. Its totient is φ = 40612644864.

The previous prime is 189827578079. The next prime is 189827578117. The reversal of 189827578080 is 80875728981.

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

It is a junction number, because it is equal to n+sod(n) for n = 189827577999 and 189827578017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32686537 + ... + 32692343.

It is an arithmetic number, because the mean of its divisors is an integer number (1053803520).

Almost surely, 2^189827578080 is an apocalyptic number.

189827578080 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 189827578080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404660551680).

189827578080 is an abundant number, since it is smaller than the sum of its proper divisors (619493525280).

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

189827578080 is a wasteful number, since it uses less digits than its factorization.

189827578080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5908 (or 5894 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 63.

The spelling of 189827578080 in words is "one hundred eighty-nine billion, eight hundred twenty-seven million, five hundred seventy-eight thousand, eighty".