83891329600 has 189 divisors, whose sum is σ = 223927430097. Its totient is φ = 30919649280.

The previous prime is 83891329589. The next prime is 83891329607. The reversal of 83891329600 is 692319838.

The square root of 83891329600 is 289640.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 79465354816 + 4425974784 = 281896^2 + 66528^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83891329607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 150612522 + ... + 150613078.

Almost surely, 2^83891329600 is an apocalyptic number.

83891329600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

83891329600 is the 289640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83891329600

83891329600 is an abundant number, since it is smaller than the sum of its proper divisors (140036100497).

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

83891329600 is an equidigital number, since it uses as much as digits as its factorization.

83891329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

Multiplying 83891329600 by its sum of digits (49), we get a square (4110675150400 = 2027480²).

The spelling of 83891329600 in words is "eighty-three billion, eight hundred ninety-one million, three hundred twenty-nine thousand, six hundred".