82313942562072 has 240 divisors, whose sum is σ = 250774109087040. Its totient is φ = 25213783825152.

The previous prime is 82313942562053. The next prime is 82313942562079. The reversal of 82313942562072 is 27026524931328.

82313942562072 is a `hidden beast` number, since 8 + 2 + 3 + 1 + 3 + 9 + 4 + 2 + 5 + 620 + 7 + 2 = 666.

It is a super-2 number, since 2×82313942562072² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82313942562079) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22735878 + ... + 26106474.

It is an arithmetic number, because the mean of its divisors is an integer number (1044892121196).

It is a 1-persistent number, because it is pandigital, but 2⋅82313942562072 = 164627885124144 is not.

Almost surely, 2^{82313942562072} 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 82313942562072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125387054543520).

82313942562072 is an abundant number, since it is smaller than the sum of its proper divisors (168460166524968).

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

82313942562072 is a wasteful number, since it uses less digits than its factorization.

82313942562072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370864 (or 3370838 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 82313942562072 in words is "eighty-two trillion, three hundred thirteen billion, nine hundred forty-two million, five hundred sixty-two thousand, seventy-two".