83164291732800 has 252 divisors, whose sum is σ = 300431196411996. Its totient is φ = 21813584486400.

The previous prime is 83164291732787. The next prime is 83164291732811. The reversal of 83164291732800 is 823719246138.

It is a happy number.

83164291732800 is a `hidden beast` number, since 8 + 3 + 1 + 6 + 4 + 291 + 73 + 280 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11406992875776 + 71757298857024 = 3377424^2 + 8470968^2 .

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 35 ways as a sum of consecutive naturals, for example, 46460109 + ... + 48216908.

Almost surely, 2^{83164291732800} is an apocalyptic number.

83164291732800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83164291732800 is an abundant number, since it is smaller than the sum of its proper divisors (217266904679196).

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

83164291732800 is a wasteful number, since it uses less digits than its factorization.

83164291732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94677106 (or 94677088 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 83164291732800 in words is "eighty-three trillion, one hundred sixty-four billion, two hundred ninety-one million, seven hundred thirty-two thousand, eight hundred".