82753714742544 has 320 divisors, whose sum is σ = 242510841169920. Its totient is φ = 27012071600640.

The previous prime is 82753714742537. The next prime is 82753714742579. The reversal of 82753714742544 is 44524741735728.

82753714742544 is a `hidden beast` number, since 8 + 2 + 7 + 5 + 3 + 7 + 1 + 47 + 42 + 544 = 666.

It is a super-3 number, since 3×82753714742544³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9664098807 + ... + 9664107369.

It is an arithmetic number, because the mean of its divisors is an integer number (757846378656).

Almost surely, 2^{82753714742544} 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 82753714742544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121255420584960).

82753714742544 is an abundant number, since it is smaller than the sum of its proper divisors (159757126427376).

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

82753714742544 is a wasteful number, since it uses less digits than its factorization.

82753714742544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10747 (or 10735 counting only the distinct ones).

The product of its digits is 210739200, while the sum is 63.

The spelling of 82753714742544 in words is "eighty-two trillion, seven hundred fifty-three billion, seven hundred fourteen million, seven hundred forty-two thousand, five hundred forty-four".