83996352000 has 960 divisors, whose sum is σ = 342963548928. Its totient is φ = 20321280000.

The previous prime is 83996351947. The next prime is 83996352029. The reversal of 83996352000 is 25369938.

83996352000 is a `hidden beast` number, since 8 + 3 + 9 + 9 + 635 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171071755 + ... + 171072245.

Almost surely, 2^83996352000 is an apocalyptic number.

83996352000 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 83996352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171481774464).

83996352000 is an abundant number, since it is smaller than the sum of its proper divisors (258967196928).

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

83996352000 is an equidigital number, since it uses as much as digits as its factorization.

83996352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 83996352000 in words is "eighty-three billion, nine hundred ninety-six million, three hundred fifty-two thousand".