189480960000 has 540 divisors, whose sum is σ = 686676772782. Its totient is φ = 50331648000.

The previous prime is 189480959981. The next prime is 189480960041. The reversal of 189480960000 is 69084981.

189480960000 is a `hidden beast` number, since 1 + 89 + 480 + 96 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 34257567744 + 155223392256 = 185088^2 + 393984^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 737279872 + ... + 737280128.

Almost surely, 2^189480960000 is an apocalyptic number.

189480960000 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 189480960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343338386391).

189480960000 is an abundant number, since it is smaller than the sum of its proper divisors (497195812782).

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

189480960000 is an frugal number, since it uses more digits than its factorization.

189480960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 189480960000 in words is "one hundred eighty-nine billion, four hundred eighty million, nine hundred sixty thousand".