83214641170080 has 3072 divisors, whose sum is σ = 371886391296000. Its totient is φ = 16943321235456.

The previous prime is 83214641170033. The next prime is 83214641170159. The reversal of 83214641170080 is 8007114641238.

83214641170080 is a `hidden beast` number, since 8 + 32 + 1 + 464 + 11 + 70 + 0 + 80 = 666.

It is a super-2 number, since 2×83214641170080² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 300413866902 + ... + 300413867178.

It is an arithmetic number, because the mean of its divisors is an integer number (121056768000).

Almost surely, 2^{83214641170080} is an apocalyptic number.

83214641170080 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 83214641170080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185943195648000).

83214641170080 is an abundant number, since it is smaller than the sum of its proper divisors (288671750125920).

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

83214641170080 is a wasteful number, since it uses less digits than its factorization.

83214641170080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 83214641170080 in words is "eighty-three trillion, two hundred fourteen billion, six hundred forty-one million, one hundred seventy thousand, eighty".