82862801124480 has 512 divisors, whose sum is σ = 317427538176000. Its totient is φ = 20307914735616.

The previous prime is 82862801124463. The next prime is 82862801124511. The reversal of 82862801124480 is 8442110826828.

It is a happy number.

82862801124480 is a `hidden beast` number, since 8 + 2 + 8 + 6 + 2 + 80 + 112 + 448 + 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, 50637169 + ... + 52247951.

It is an arithmetic number, because the mean of its divisors is an integer number (619975660500).

Almost surely, 2^{82862801124480} is an apocalyptic number.

82862801124480 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 82862801124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158713769088000).

82862801124480 is an abundant number, since it is smaller than the sum of its proper divisors (234564737051520).

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

82862801124480 is a wasteful number, since it uses less digits than its factorization.

82862801124480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611053 (or 1611035 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The spelling of 82862801124480 in words is "eighty-two trillion, eight hundred sixty-two billion, eight hundred one million, one hundred twenty-four thousand, four hundred eighty".