82503241776 has 120 divisors (see below), whose sum is σ = 238599264384. Its totient is φ = 26585303040.

The previous prime is 82503241729. The next prime is 82503241789. The reversal of 82503241776 is 67714230528.

82503241776 is a `hidden beast` number, since 8 + 250 + 324 + 1 + 7 + 76 = 666.

It is a super-3 number, since 3×82503241776³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4351870 + ... + 4370786.

Almost surely, 2^82503241776 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 82503241776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119299632192).

82503241776 is an abundant number, since it is smaller than the sum of its proper divisors (156096022608).

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

82503241776 is a wasteful number, since it uses less digits than its factorization.

82503241776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19939 (or 19930 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 82503241776 in words is "eighty-two billion, five hundred three million, two hundred forty-one thousand, seven hundred seventy-six".