82801836057248 has 576 divisors, whose sum is σ = 222468096775680. Its totient is φ = 29602980126720.

The previous prime is 82801836057209. The next prime is 82801836057293. The reversal of 82801836057248 is 84275063810828.

It is a super-2 number, since 2×82801836057248² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2838289190 + ... + 2838318362.

It is an arithmetic number, because the mean of its divisors is an integer number (386229334680).

Almost surely, 2^{82801836057248} is an apocalyptic number.

82801836057248 is a gapful number since it is divisible by the number (88) 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 82801836057248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111234048387840).

82801836057248 is an abundant number, since it is smaller than the sum of its proper divisors (139666260718432).

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

82801836057248 is a wasteful number, since it uses less digits than its factorization.

82801836057248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29421 (or 29402 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 62.

The spelling of 82801836057248 in words is "eighty-two trillion, eight hundred one billion, eight hundred thirty-six million, fifty-seven thousand, two hundred forty-eight".