83055153720 has 1024 divisors, whose sum is σ = 347435827200. Its totient is φ = 15355422720.

The previous prime is 83055153707. The next prime is 83055153733. The reversal of 83055153720 is 2735155038.

It is an interprime number because it is at equal distance from previous prime (83055153707) and next prime (83055153733).

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 255 ways as a sum of consecutive naturals, for example, 270537807 + ... + 270538113.

It is an arithmetic number, because the mean of its divisors is an integer number (339292800).

Almost surely, 2^83055153720 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 83055153720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173717913600).

83055153720 is an abundant number, since it is smaller than the sum of its proper divisors (264380673480).

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

83055153720 is a wasteful number, since it uses less digits than its factorization.

83055153720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The spelling of 83055153720 in words is "eighty-three billion, fifty-five million, one hundred fifty-three thousand, seven hundred twenty".