83196218880 has 320 divisors, whose sum is σ = 296530217280. Its totient is φ = 22109847552.

The previous prime is 83196218851. The next prime is 83196218921. The reversal of 83196218880 is 8881269138.

83196218880 is a `hidden beast` number, since 8 + 3 + 1 + 9 + 621 + 8 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×83196218880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21909142 + ... + 21912938.

It is an arithmetic number, because the mean of its divisors is an integer number (926656929).

Almost surely, 2^83196218880 is an apocalyptic number.

83196218880 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 83196218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148265108640).

83196218880 is an abundant number, since it is smaller than the sum of its proper divisors (213333998400).

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

83196218880 is a wasteful number, since it uses less digits than its factorization.

83196218880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4146 (or 4124 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 83196218880 in words is "eighty-three billion, one hundred ninety-six million, two hundred eighteen thousand, eight hundred eighty".