82023128478720 has 1408 divisors, whose sum is σ = 343082644692480. Its totient is φ = 18321254645760.

The previous prime is 82023128478671. The next prime is 82023128478749. The reversal of 82023128478720 is 2787482132028.

82023128478720 is a `hidden beast` number, since 8 + 2 + 0 + 23 + 128 + 478 + 7 + 20 = 666.

82023128478720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11722610262 + ... + 11722617258.

It is an arithmetic number, because the mean of its divisors is an integer number (243666651060).

Almost surely, 2^{82023128478720} is an apocalyptic number.

82023128478720 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 82023128478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171541322346240).

82023128478720 is an abundant number, since it is smaller than the sum of its proper divisors (261059516213760).

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

82023128478720 is a wasteful number, since it uses less digits than its factorization.

82023128478720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7648 (or 7624 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 82023128478720 in words is "eighty-two trillion, twenty-three billion, one hundred twenty-eight million, four hundred seventy-eight thousand, seven hundred twenty".