82735992507 has 48 divisors (see below), whose sum is σ = 131991826560. Its totient is φ = 45938285568.

The previous prime is 82735992487. The next prime is 82735992533. The reversal of 82735992507 is 70529953728.

It is a happy number.

It is not a de Polignac number, because 82735992507 - 2¹⁵ = 82735959739 is a prime.

It is a super-2 number, since 2×82735992507² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82735992557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1186044 + ... + 1253862.

It is an arithmetic number, because the mean of its divisors is an integer number (2749829720).

Almost surely, 2^82735992507 is an apocalyptic number.

82735992507 is a deficient number, since it is larger than the sum of its proper divisors (49255834053).

82735992507 is a wasteful number, since it uses less digits than its factorization.

82735992507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68072 (or 68065 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 57.

The spelling of 82735992507 in words is "eighty-two billion, seven hundred thirty-five million, nine hundred ninety-two thousand, five hundred seven".