189544535040000 has 4480 divisors, whose sum is σ = 814433121976320. Its totient is φ = 38220595200000.

The previous prime is 189544535039983. The next prime is 189544535040017. The reversal of 189544535040000 is 40535445981.

It is an interprime number because it is at equal distance from previous prime (189544535039983) and next prime (189544535040017).

It is a tau number, because it is divible by the number of its divisors (4480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2596500479964 + ... + 2596500480036.

It is an arithmetic number, because the mean of its divisors is an integer number (181793107584).

Almost surely, 2^{189544535040000} is an apocalyptic number.

189544535040000 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 189544535040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407216560988160).

189544535040000 is an abundant number, since it is smaller than the sum of its proper divisors (624888586936320).

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

189544535040000 is an equidigital number, since it uses as much as digits as its factorization.

189544535040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 189544535040000 in words is "one hundred eighty-nine trillion, five hundred forty-four billion, five hundred thirty-five million, forty thousand".