83208100246992 has 960 divisors, whose sum is σ = 293020916318208. Its totient is φ = 21494661120000.

The previous prime is 83208100246927. The next prime is 83208100247021. The reversal of 83208100246992 is 29964200180238.

83208100246992 is a `hidden beast` number, since 8 + 3 + 208 + 100 + 246 + 9 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51972578992 + ... + 51972580592.

Almost surely, 2^{83208100246992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83208100246992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146510458159104).

83208100246992 is an abundant number, since it is smaller than the sum of its proper divisors (209812816071216).

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

83208100246992 is a wasteful number, since it uses less digits than its factorization.

83208100246992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 83208100246992 in words is "eighty-three trillion, two hundred eight billion, one hundred million, two hundred forty-six thousand, nine hundred ninety-two".