83797105392 has 1920 divisors, whose sum is σ = 364776652800. Its totient is φ = 18027878400.

The previous prime is 83797105367. The next prime is 83797105417. The reversal of 83797105392 is 29350179738.

83797105392 is a `hidden beast` number, since 8 + 3 + 7 + 97 + 10 + 539 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (83797105367) and next prime (83797105417).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1782917113 + ... + 1782917159.

It is an arithmetic number, because the mean of its divisors is an integer number (189987840).

Almost surely, 2^83797105392 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 83797105392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182388326400).

83797105392 is an abundant number, since it is smaller than the sum of its proper divisors (280979547408).

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

83797105392 is a wasteful number, since it uses less digits than its factorization.

83797105392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 83797105392 in words is "eighty-three billion, seven hundred ninety-seven million, one hundred five thousand, three hundred ninety-two".