82540021124352 has 1728 divisors, whose sum is σ = 278037942239232. Its totient is φ = 21581896089600.

The previous prime is 82540021124291. The next prime is 82540021124389. The reversal of 82540021124352 is 25342112004528.

It is a self number, because there is not a number n which added to its sum of digits gives 82540021124352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 143050296288 + ... + 143050296864.

It is an arithmetic number, because the mean of its divisors is an integer number (160901586944).

Almost surely, 2^{82540021124352} 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 82540021124352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139018971119616).

82540021124352 is an abundant number, since it is smaller than the sum of its proper divisors (195497921114880).

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

82540021124352 is a wasteful number, since it uses less digits than its factorization.

82540021124352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The spelling of 82540021124352 in words is "eighty-two trillion, five hundred forty billion, twenty-one million, one hundred twenty-four thousand, three hundred fifty-two".