188828773136640 has 3024 divisors, whose sum is σ = 856599129187200. Its totient is φ = 39829383659520.

The previous prime is 188828773136611. The next prime is 188828773136713. The reversal of 188828773136640 is 46631377828881.

188828773136640 is a `hidden beast` number, since 1 + 8 + 8 + 82 + 87 + 73 + 1 + 366 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×188828773136640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 54090165295 + ... + 54090168785.

It is an arithmetic number, because the mean of its divisors is an integer number (283266907800).

Almost surely, 2^{188828773136640} is an apocalyptic number.

188828773136640 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 188828773136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428299564593600).

188828773136640 is an abundant number, since it is smaller than the sum of its proper divisors (667770356050560).

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

188828773136640 is an frugal number, since it uses more digits than its factorization.

188828773136640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 188828773136640 in words is "one hundred eighty-eight trillion, eight hundred twenty-eight billion, seven hundred seventy-three million, one hundred thirty-six thousand, six hundred forty".