189450106560 has 2016 divisors, whose sum is σ = 849944309760. Its totient is φ = 38320128000.

The previous prime is 189450106553. The next prime is 189450106567. The reversal of 189450106560 is 65601054981.

189450106560 is a `hidden beast` number, since 1 + 8 + 94 + 501 + 0 + 6 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (189450106553) and next prime (189450106567).

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

It is not an unprimeable number, because it can be changed into a prime (189450106567) 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, 2668311325 + ... + 2668311395.

It is an arithmetic number, because the mean of its divisors is an integer number (421599360).

Almost surely, 2^189450106560 is an apocalyptic number.

189450106560 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 189450106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424972154880).

189450106560 is an abundant number, since it is smaller than the sum of its proper divisors (660494203200).

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

189450106560 is a wasteful number, since it uses less digits than its factorization.

189450106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 189450106560 in words is "one hundred eighty-nine billion, four hundred fifty million, one hundred six thousand, five hundred sixty".