189025396560 has 1440 divisors, whose sum is σ = 870495784704. Its totient is φ = 35765452800.

The previous prime is 189025396543. The next prime is 189025396621. The reversal of 189025396560 is 65693520981.

It is a happy number.

189025396560 is a `hidden beast` number, since 18 + 90 + 2 + 539 + 6 + 5 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 189025396497 and 189025396506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 895854855 + ... + 895855065.

Almost surely, 2^189025396560 is an apocalyptic number.

189025396560 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 189025396560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435247892352).

189025396560 is an abundant number, since it is smaller than the sum of its proper divisors (681470388144).

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

189025396560 is a wasteful number, since it uses less digits than its factorization.

189025396560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

It can be divided in two parts, 189025 and 396560, that added together give a palindrome (585585).

The spelling of 189025396560 in words is "one hundred eighty-nine billion, twenty-five million, three hundred ninety-six thousand, five hundred sixty".