83251608960 has 256 divisors, whose sum is σ = 288038338560. Its totient is φ = 20330569728.

The previous prime is 83251608949. The next prime is 83251608997. The reversal of 83251608960 is 6980615238.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 3156789 + ... + 3183051.

It is an arithmetic number, because the mean of its divisors is an integer number (1125149760).

Almost surely, 2^83251608960 is an apocalyptic number.

83251608960 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 83251608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144019169280).

83251608960 is an abundant number, since it is smaller than the sum of its proper divisors (204786729600).

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

83251608960 is a wasteful number, since it uses less digits than its factorization.

83251608960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26425 (or 26413 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 83251608960 in words is "eighty-three billion, two hundred fifty-one million, six hundred eight thousand, nine hundred sixty".