83531291760 has 720 divisors, whose sum is σ = 339382742400. Its totient is φ = 18342567936.

The previous prime is 83531291747. The next prime is 83531291771. The reversal of 83531291760 is 6719213538.

83531291760 is a `hidden beast` number, since 8 + 353 + 1 + 291 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 116176681 + ... + 116177399.

It is an arithmetic number, because the mean of its divisors is an integer number (471364920).

Almost surely, 2^83531291760 is an apocalyptic number.

83531291760 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 83531291760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169691371200).

83531291760 is an abundant number, since it is smaller than the sum of its proper divisors (255851450640).

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

83531291760 is a wasteful number, since it uses less digits than its factorization.

83531291760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 83531291760 in words is "eighty-three billion, five hundred thirty-one million, two hundred ninety-one thousand, seven hundred sixty".