82188362880 has 512 divisors, whose sum is σ = 314514144000. Its totient is φ = 20164018176.

The previous prime is 82188362819. The next prime is 82188362929. The reversal of 82188362880 is 8826388128.

82188362880 is a `hidden beast` number, since 8 + 2 + 1 + 8 + 8 + 3 + 628 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127819839 + ... + 127820481.

Almost surely, 2^82188362880 is an apocalyptic number.

82188362880 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 82188362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157257072000).

82188362880 is an abundant number, since it is smaller than the sum of its proper divisors (232325781120).

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

82188362880 is a wasteful number, since it uses less digits than its factorization.

82188362880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 82188362880 in words is "eighty-two billion, one hundred eighty-eight million, three hundred sixty-two thousand, eight hundred eighty".