82735596000504 has 32 divisors (see below), whose sum is σ = 229821100002000. Its totient is φ = 27578532000096.

The previous prime is 82735596000479. The next prime is 82735596000527. The reversal of 82735596000504 is 40500069553728.

82735596000504 is a `hidden beast` number, since 8 + 2 + 73 + 5 + 5 + 9 + 60 + 0 + 0 + 504 = 666.

It is a super-2 number, since 2×82735596000504² (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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191517583119 + ... + 191517583550.

Almost surely, 2^{82735596000504} is an apocalyptic number.

It is an amenable number.

82735596000504 is an abundant number, since it is smaller than the sum of its proper divisors (147085504001496).

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

82735596000504 is a wasteful number, since it uses less digits than its factorization.

82735596000504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383035166684 (or 383035166674 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 82735596000504 in words is "eighty-two trillion, seven hundred thirty-five billion, five hundred ninety-six million, five hundred four", and thus it is an aban number.