83197532160 has 768 divisors, whose sum is σ = 323805081600. Its totient is φ = 20171980800.

The previous prime is 83197532123. The next prime is 83197532167. The reversal of 83197532160 is 6123579138.

83197532160 is a `hidden beast` number, since 8 + 319 + 7 + 5 + 321 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83197532167) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 145704675 + ... + 145705245.

It is an arithmetic number, because the mean of its divisors is an integer number (421621200).

Almost surely, 2^83197532160 is an apocalyptic number.

83197532160 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 83197532160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161902540800).

83197532160 is an abundant number, since it is smaller than the sum of its proper divisors (240607549440).

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

83197532160 is a wasteful number, since it uses less digits than its factorization.

83197532160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 629 counting only the distinct ones).

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

The spelling of 83197532160 in words is "eighty-three billion, one hundred ninety-seven million, five hundred thirty-two thousand, one hundred sixty".