82861192080 has 480 divisors, whose sum is σ = 299500830720. Its totient is φ = 21268293120.

The previous prime is 82861192061. The next prime is 82861192091. The reversal of 82861192080 is 8029116828.

It is a happy number.

82861192080 is a `hidden beast` number, since 8 + 2 + 8 + 611 + 9 + 20 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 216347569 + ... + 216347951.

It is an arithmetic number, because the mean of its divisors is an integer number (623960064).

Almost surely, 2^82861192080 is an apocalyptic number.

82861192080 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 82861192080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149750415360).

82861192080 is an abundant number, since it is smaller than the sum of its proper divisors (216639638640).

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

82861192080 is a wasteful number, since it uses less digits than its factorization.

82861192080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 82861192080 in words is "eighty-two billion, eight hundred sixty-one million, one hundred ninety-two thousand, eighty".