82701856008840 has 256 divisors, whose sum is σ = 254722399626240. Its totient is φ = 21468102656000.

The previous prime is 82701856008839. The next prime is 82701856008841. The reversal of 82701856008840 is 4880065810728.

It is an interprime number because it is at equal distance from previous prime (82701856008839) and next prime (82701856008841).

It is not an unprimeable number, because it can be changed into a prime (82701856008841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5679675160 + ... + 5679689720.

It is an arithmetic number, because the mean of its divisors is an integer number (995009373540).

Almost surely, 2^{82701856008840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82701856008840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127361199813120).

82701856008840 is an abundant number, since it is smaller than the sum of its proper divisors (172020543617400).

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

82701856008840 is a wasteful number, since it uses less digits than its factorization.

82701856008840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17104 (or 17100 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 57.

The spelling of 82701856008840 in words is "eighty-two trillion, seven hundred one billion, eight hundred fifty-six million, eight thousand, eight hundred forty".