83922626661120 has 432 divisors, whose sum is σ = 313627283135712. Its totient is φ = 20596565606400.

The previous prime is 83922626661109. The next prime is 83922626661151. The reversal of 83922626661120 is 2116662622938.

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, 49637695 + ... + 51300545.

Almost surely, 2^{83922626661120} is an apocalyptic number.

83922626661120 is a gapful number since it is divisible by the number (80) 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 83922626661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156813641567856).

83922626661120 is an abundant number, since it is smaller than the sum of its proper divisors (229704656474592).

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

83922626661120 is a wasteful number, since it uses less digits than its factorization.

83922626661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663228 (or 1663211 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 83922626661120 in words is "eighty-three trillion, nine hundred twenty-two billion, six hundred twenty-six million, six hundred sixty-one thousand, one hundred twenty".