82350720480 has 192 divisors, whose sum is σ = 297306713088. Its totient is φ = 18769428480.

The previous prime is 82350720479. The next prime is 82350720497. The reversal of 82350720480 is 8402705328.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1151365 + ... + 1220795.

It is an arithmetic number, because the mean of its divisors is an integer number (1548472464).

Almost surely, 2^82350720480 is an apocalyptic number.

82350720480 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 82350720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148653356544).

82350720480 is an abundant number, since it is smaller than the sum of its proper divisors (214955992608).

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

82350720480 is a wasteful number, since it uses less digits than its factorization.

82350720480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69809 (or 69801 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 82350720480 in words is "eighty-two billion, three hundred fifty million, seven hundred twenty thousand, four hundred eighty".