82098183888 has 480 divisors, whose sum is σ = 280336343040. Its totient is φ = 21924587520.

The previous prime is 82098183857. The next prime is 82098183899. The reversal of 82098183888 is 88838189028.

It is a super-2 number, since 2×82098183888² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 302945193 + ... + 302945463.

It is an arithmetic number, because the mean of its divisors is an integer number (584034048).

Almost surely, 2^82098183888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82098183888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140168171520).

82098183888 is an abundant number, since it is smaller than the sum of its proper divisors (198238159152).

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

82098183888 is a wasteful number, since it uses less digits than its factorization.

82098183888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 63.

The spelling of 82098183888 in words is "eighty-two billion, ninety-eight million, one hundred eighty-three thousand, eight hundred eighty-eight".