82720913184 has 576 divisors, whose sum is σ = 299598324480. Its totient is φ = 21071093760.

The previous prime is 82720913183. The next prime is 82720913203. The reversal of 82720913184 is 48131902728.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82720913183) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94322154 + ... + 94323030.

It is an arithmetic number, because the mean of its divisors is an integer number (520135980).

Almost surely, 2^82720913184 is an apocalyptic number.

82720913184 is a gapful number since it is divisible by the number (84) 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 82720913184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149799162240).

82720913184 is an abundant number, since it is smaller than the sum of its proper divisors (216877411296).

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

82720913184 is a wasteful number, since it uses less digits than its factorization.

82720913184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 82720913184 in words is "eighty-two billion, seven hundred twenty million, nine hundred thirteen thousand, one hundred eighty-four".