83990109676032 has 480 divisors, whose sum is σ = 287517989670912. Its totient is φ = 23978151235584.

The previous prime is 83990109676001. The next prime is 83990109676043. The reversal of 83990109676032 is 23067690109938.

83990109676032 is a `hidden beast` number, since 8 + 3 + 9 + 9 + 0 + 10 + 9 + 6 + 7 + 603 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 1117342513 + ... + 1117417679.

Almost surely, 2^{83990109676032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83990109676032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143758994835456).

83990109676032 is an abundant number, since it is smaller than the sum of its proper divisors (203527879994880).

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

83990109676032 is an equidigital number, since it uses as much as digits as its factorization.

83990109676032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76490 (or 76462 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 83990109676032 in words is "eighty-three trillion, nine hundred ninety billion, one hundred nine million, six hundred seventy-six thousand, thirty-two".