83105773296 has 320 divisors, whose sum is σ = 267678867456. Its totient is φ = 21634329600.

The previous prime is 83105773229. The next prime is 83105773319. The reversal of 83105773296 is 69237750138.

It is a super-2 number, since 2×83105773296² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177956455 + ... + 177956921.

Almost surely, 2^83105773296 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 83105773296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133839433728).

83105773296 is an abundant number, since it is smaller than the sum of its proper divisors (184573094160).

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

83105773296 is a wasteful number, since it uses less digits than its factorization.

83105773296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 83105773296 in words is "eighty-three billion, one hundred five million, seven hundred seventy-three thousand, two hundred ninety-six".