83923313011200 has 720 divisors, whose sum is σ = 326644300598616. Its totient is φ = 20453474304000.

The previous prime is 83923313011147. The next prime is 83923313011217. The reversal of 83923313011200 is 211031332938.

It is a happy number.

83923313011200 is a `hidden beast` number, since 8 + 3 + 9 + 2 + 331 + 301 + 12 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2950094797056 + 80973218214144 = 1717584^2 + 8998512^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×83923313011200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 150980182 + ... + 151535018.

Almost surely, 2^{83923313011200} is an apocalyptic number.

83923313011200 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 83923313011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163322150299308).

83923313011200 is an abundant number, since it is smaller than the sum of its proper divisors (242720987587416).

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

83923313011200 is a wasteful number, since it uses less digits than its factorization.

83923313011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554985 (or 554961 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 83923313011200 in words is "eighty-three trillion, nine hundred twenty-three billion, three hundred thirteen million, eleven thousand, two hundred".