83997735120 has 480 divisors, whose sum is σ = 318512113920. Its totient is φ = 19683164160.

The previous prime is 83997735119. The next prime is 83997735139. The reversal of 83997735120 is 2153779938.

83997735120 is a `hidden beast` number, since 8 + 39 + 97 + 7 + 3 + 512 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51881671 + ... + 51883289.

It is an arithmetic number, because the mean of its divisors is an integer number (663566904).

Almost surely, 2^83997735120 is an apocalyptic number.

83997735120 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 83997735120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159256056960).

83997735120 is an abundant number, since it is smaller than the sum of its proper divisors (234514378800).

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

83997735120 is a wasteful number, since it uses less digits than its factorization.

83997735120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1906 counting only the distinct ones).

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

The spelling of 83997735120 in words is "eighty-three billion, nine hundred ninety-seven million, seven hundred thirty-five thousand, one hundred twenty".