82481385504 has 96 divisors (see below), whose sum is σ = 248926196736. Its totient is φ = 23424963840.

The previous prime is 82481385499. The next prime is 82481385523. The reversal of 82481385504 is 40558318428.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×82481385504² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255262 + ... + 479709.

It is an arithmetic number, because the mean of its divisors is an integer number (2592981216).

Almost surely, 2^82481385504 is an apocalyptic number.

82481385504 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82481385504 is an abundant number, since it is smaller than the sum of its proper divisors (166444811232).

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

82481385504 is a wasteful number, since it uses less digits than its factorization.

82481385504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735158 (or 735150 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The spelling of 82481385504 in words is "eighty-two billion, four hundred eighty-one million, three hundred eighty-five thousand, five hundred four".