83661933818880 has 880 divisors, whose sum is σ = 317884884158160. Its totient is φ = 20967563722752.

The previous prime is 83661933818861. The next prime is 83661933818921. The reversal of 83661933818880 is 8881833916638.

83661933818880 is a `hidden beast` number, since 8 + 3 + 6 + 6 + 1 + 93 + 381 + 88 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11763473163264 + 71898460655616 = 3429792^2 + 8479296^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 83661933818799 and 83661933818808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5167817826 + ... + 5167834014.

It is an arithmetic number, because the mean of its divisors is an integer number (361232822907).

Almost surely, 2^{83661933818880} is an apocalyptic number.

83661933818880 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 83661933818880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158942442079080).

83661933818880 is an abundant number, since it is smaller than the sum of its proper divisors (234222950339280).

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

83661933818880 is a wasteful number, since it uses less digits than its factorization.

83661933818880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16976 (or 16949 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 72.

The spelling of 83661933818880 in words is "eighty-three trillion, six hundred sixty-one billion, nine hundred thirty-three million, eight hundred eighteen thousand, eight hundred eighty".