83886372218880 has 2304 divisors, whose sum is σ = 372057926123520. Its totient is φ = 16976314368000.

The previous prime is 83886372218771. The next prime is 83886372218899. The reversal of 83886372218880 is 8881227368838.

It is a happy number.

83886372218880 is a `hidden beast` number, since 8 + 3 + 8 + 86 + 372 + 21 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 = 83886372218799 and 83886372218808.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42996601905 + ... + 42996603855.

It is an arithmetic number, because the mean of its divisors is an integer number (161483474880).

Almost surely, 2^{83886372218880} is an apocalyptic number.

83886372218880 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 83886372218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186028963061760).

83886372218880 is an abundant number, since it is smaller than the sum of its proper divisors (288171553904640).

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

83886372218880 is a wasteful number, since it uses less digits than its factorization.

83886372218880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 396361728, while the sum is 72.

The spelling of 83886372218880 in words is "eighty-three trillion, eight hundred eighty-six billion, three hundred seventy-two million, two hundred eighteen thousand, eight hundred eighty".