82704245725820 has 96 divisors (see below), whose sum is σ = 178424220877056. Its totient is φ = 32182530867200.

The previous prime is 82704245725807. The next prime is 82704245725957. The reversal of 82704245725820 is 2852754240728.

82704245725820 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×82704245725820² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 663307004 + ... + 663431676.

It is an arithmetic number, because the mean of its divisors is an integer number (1858585634136).

Almost surely, 2^{82704245725820} 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 82704245725820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89212110438528).

82704245725820 is an abundant number, since it is smaller than the sum of its proper divisors (95719975151236).

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

82704245725820 is a wasteful number, since it uses less digits than its factorization.

82704245725820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127031 (or 127029 counting only the distinct ones).

The product of its (nonzero) digits is 20070400, while the sum is 56.

The spelling of 82704245725820 in words is "eighty-two trillion, seven hundred four billion, two hundred forty-five million, seven hundred twenty-five thousand, eight hundred twenty".