189128459520 has 2592 divisors, whose sum is σ = 937171710720. Its totient is φ = 35765452800.

The previous prime is 189128459503. The next prime is 189128459521. The reversal of 189128459520 is 25954821981.

189128459520 is a `hidden beast` number, since 1 + 8 + 9 + 1 + 28 + 4 + 595 + 20 = 666.

It is a super-3 number, since 3×189128459520³ (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189128459521) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2663781085 + ... + 2663781155.

It is an arithmetic number, because the mean of its divisors is an integer number (361563160).

Almost surely, 2^189128459520 is an apocalyptic number.

189128459520 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 189128459520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468585855360).

189128459520 is an abundant number, since it is smaller than the sum of its proper divisors (748043251200).

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

189128459520 is a wasteful number, since it uses less digits than its factorization.

189128459520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 189128459520 in words is "one hundred eighty-nine billion, one hundred twenty-eight million, four hundred fifty-nine thousand, five hundred twenty".