82507460448 has 96 divisors (see below), whose sum is σ = 247576525056. Its totient is φ = 23568403968.

The previous prime is 82507460419. The next prime is 82507460471. The reversal of 82507460448 is 84406470528.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 82507460397 and 82507460406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3915990 + ... + 3937002.

It is an arithmetic number, because the mean of its divisors is an integer number (2578922136).

Almost surely, 2^82507460448 is an apocalyptic number.

It is an amenable number.

82507460448 is an abundant number, since it is smaller than the sum of its proper divisors (165069064608).

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

82507460448 is a wasteful number, since it uses less digits than its factorization.

82507460448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26876 (or 26868 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 82507460448 in words is "eighty-two billion, five hundred seven million, four hundred sixty thousand, four hundred forty-eight".