188961030720 has 672 divisors, whose sum is σ = 836493705216. Its totient is φ = 37996646400.

The previous prime is 188961030691. The next prime is 188961030737. The reversal of 188961030720 is 27030169881.

188961030720 is a `hidden beast` number, since 1 + 8 + 8 + 9 + 610 + 3 + 0 + 7 + 20 = 666.

188961030720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×188961030720² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6860817 + ... + 6888303.

Almost surely, 2^188961030720 is an apocalyptic number.

188961030720 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 188961030720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418246852608).

188961030720 is an abundant number, since it is smaller than the sum of its proper divisors (647532674496).

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

188961030720 is a wasteful number, since it uses less digits than its factorization.

188961030720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27559 (or 27546 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 188961030720 in words is "one hundred eighty-eight billion, nine hundred sixty-one million, thirty thousand, seven hundred twenty".