82747080593920 has 240 divisors, whose sum is σ = 207475932565440. Its totient is φ = 31645132677120.

The previous prime is 82747080593909. The next prime is 82747080593953. The reversal of 82747080593920 is 2939508074728.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203990661 + ... + 204395899.

It is an arithmetic number, because the mean of its divisors is an integer number (864483052356).

Almost surely, 2^{82747080593920} is an apocalyptic number.

82747080593920 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 82747080593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103737966282720).

82747080593920 is an abundant number, since it is smaller than the sum of its proper divisors (124728851971520).

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

82747080593920 is an equidigital number, since it uses as much as digits as its factorization.

82747080593920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405407 (or 405360 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 64.

The spelling of 82747080593920 in words is "eighty-two trillion, seven hundred forty-seven billion, eighty million, five hundred ninety-three thousand, nine hundred twenty".