83191680000 has 1320 divisors, whose sum is σ = 356140760976. Its totient is φ = 18432000000.

The previous prime is 83191679993. The next prime is 83191680037. The reversal of 83191680000 is 8619138.

It is a tau number, because it is divible by the number of its divisors (1320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 823679950 + ... + 823680050.

Almost surely, 2^83191680000 is an apocalyptic number.

83191680000 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 83191680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178070380488).

83191680000 is an abundant number, since it is smaller than the sum of its proper divisors (272949080976).

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

83191680000 is a wasteful number, since it uses less digits than its factorization.

83191680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 83191680000 in words is "eighty-three billion, one hundred ninety-one million, six hundred eighty thousand".