82149094528 has 64 divisors (see below), whose sum is σ = 165132288000. Its totient is φ = 40704878592.

The previous prime is 82149094501. The next prime is 82149094553. The reversal of 82149094528 is 82549094128.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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, 17667948 + ... + 17672596.

It is an arithmetic number, because the mean of its divisors is an integer number (2580192000).

Almost surely, 2^82149094528 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 82149094528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82566144000).

82149094528 is an abundant number, since it is smaller than the sum of its proper divisors (82983193472).

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

82149094528 is a wasteful number, since it uses less digits than its factorization.

82149094528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5877 (or 5865 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The spelling of 82149094528 in words is "eighty-two billion, one hundred forty-nine million, ninety-four thousand, five hundred twenty-eight".