83399739696000 has 5760 divisors, whose sum is σ = 411708607596000. Its totient is φ = 16629542092800.

The previous prime is 83399739695983. The next prime is 83399739696001. The reversal of 83399739696000 is 69693799338.

It is a happy number.

83399739696000 is a `hidden beast` number, since 8 + 3 + 3 + 9 + 9 + 7 + 3 + 9 + 6 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 83399739696000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83399739696001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 203911343796 + ... + 203911344204.

Almost surely, 2^{83399739696000} is an apocalyptic number.

83399739696000 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 83399739696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205854303798000).

83399739696000 is an abundant number, since it is smaller than the sum of its proper divisors (328308867900000).

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

83399739696000 is a wasteful number, since it uses less digits than its factorization.

83399739696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 357128352, while the sum is 72.

The spelling of 83399739696000 in words is "eighty-three trillion, three hundred ninety-nine billion, seven hundred thirty-nine million, six hundred ninety-six thousand".