82810159073280 has 1920 divisors, whose sum is σ = 320073850736640. Its totient is φ = 20404701757440.

The previous prime is 82810159073261. The next prime is 82810159073321. The reversal of 82810159073280 is 8237095101828.

82810159073280 is a `hidden beast` number, since 8 + 2 + 8 + 10 + 1 + 590 + 7 + 32 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 159 ways as a sum of consecutive naturals, for example, 234589685584 + ... + 234589685936.

It is an arithmetic number, because the mean of its divisors is an integer number (166705130592).

Almost surely, 2^{82810159073280} is an apocalyptic number.

82810159073280 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 82810159073280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160036925368320).

82810159073280 is an abundant number, since it is smaller than the sum of its proper divisors (237263691663360).

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

82810159073280 is a wasteful number, since it uses less digits than its factorization.

82810159073280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 82810159073280 in words is "eighty-two trillion, eight hundred ten billion, one hundred fifty-nine million, seventy-three thousand, two hundred eighty".