83223897120000 has 5400 divisors, whose sum is σ = 412020804494376. Its totient is φ = 16498556928000.

The previous prime is 83223897119989. The next prime is 83223897120019. The reversal of 83223897120000 is 2179832238.

83223897120000 is a `hidden beast` number, since 8 + 322 + 38 + 97 + 1 + 200 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 82045335020544 + 1178562099456 = 9057888^2 + 1085616^2 .

It is a tau number, because it is divible by the number of its divisors (5400).

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

It is a congruent number.

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 599 ways as a sum of consecutive naturals, for example, 140343839704 + ... + 140343840296.

Almost surely, 2^{83223897120000} is an apocalyptic number.

83223897120000 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 83223897120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206010402247188).

83223897120000 is an abundant number, since it is smaller than the sum of its proper divisors (328796907374376).

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

83223897120000 is a wasteful number, since it uses less digits than its factorization.

83223897120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 83223897120000 in words is "eighty-three trillion, two hundred twenty-three billion, eight hundred ninety-seven million, one hundred twenty thousand".