83288824732080 has 1440 divisors, whose sum is σ = 338793155850240. Its totient is φ = 18249960960000.

The previous prime is 83288824732079. The next prime is 83288824732159. The reversal of 83288824732080 is 8023742888238.

83288824732080 is a `hidden beast` number, since 8 + 3 + 2 + 8 + 8 + 82 + 473 + 2 + 0 + 80 = 666.

It is a super-3 number, since 3×83288824732080³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 83288824731999 and 83288824732017.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3643259850 + ... + 3643282710.

It is an arithmetic number, because the mean of its divisors is an integer number (235273024896).

Almost surely, 2^{83288824732080} is an apocalyptic number.

83288824732080 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 83288824732080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169396577925120).

83288824732080 is an abundant number, since it is smaller than the sum of its proper divisors (255504331118160).

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

83288824732080 is a wasteful number, since it uses less digits than its factorization.

83288824732080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23023 (or 23003 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 63.

The spelling of 83288824732080 in words is "eighty-three trillion, two hundred eighty-eight billion, eight hundred twenty-four million, seven hundred thirty-two thousand, eighty".