82701440460544 has 72 divisors (see below), whose sum is σ = 166953992562000. Its totient is φ = 40881369931776.

The previous prime is 82701440460511. The next prime is 82701440460547. The reversal of 82701440460544 is 44506404410728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82701440460547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200726302 + ... + 201137890.

It is an arithmetic number, because the mean of its divisors is an integer number (2318805452250).

Almost surely, 2^{82701440460544} 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 82701440460544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83476996281000).

82701440460544 is an abundant number, since it is smaller than the sum of its proper divisors (84252552101456).

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

82701440460544 is an equidigital number, since it uses as much as digits as its factorization.

82701440460544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420513 (or 420499 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 49.

The spelling of 82701440460544 in words is "eighty-two trillion, seven hundred one billion, four hundred forty million, four hundred sixty thousand, five hundred forty-four".