83729753352 has 256 divisors, whose sum is σ = 268251955200. Its totient is φ = 23704047360.

The previous prime is 83729753339. The next prime is 83729753363. The reversal of 83729753352 is 25335792738.

83729753352 is a `hidden beast` number, since 8 + 37 + 29 + 7 + 533 + 52 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 110606958 + ... + 110607714.

It is an arithmetic number, because the mean of its divisors is an integer number (1047859200).

Almost surely, 2^83729753352 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 83729753352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134125977600).

83729753352 is an abundant number, since it is smaller than the sum of its proper divisors (184522201848).

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

83729753352 is a wasteful number, since it uses less digits than its factorization.

83729753352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1343 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 54.

The spelling of 83729753352 in words is "eighty-three billion, seven hundred twenty-nine million, seven hundred fifty-three thousand, three hundred fifty-two".