189264915840 has 2048 divisors, whose sum is σ = 876485836800. Its totient is φ = 33443020800.

The previous prime is 189264915787. The next prime is 189264915881. The reversal of 189264915840 is 48519462981.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2592670044 + ... + 2592670116.

It is an arithmetic number, because the mean of its divisors is an integer number (427971600).

Almost surely, 2^189264915840 is an apocalyptic number.

189264915840 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 189264915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438242918400).

189264915840 is an abundant number, since it is smaller than the sum of its proper divisors (687220920960).

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

189264915840 is a wasteful number, since it uses less digits than its factorization.

189264915840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 189264915840 in words is "one hundred eighty-nine billion, two hundred sixty-four million, nine hundred fifteen thousand, eight hundred forty".