82054854924 has 576 divisors, whose sum is σ = 263433461760. Its totient is φ = 19670999040.

The previous prime is 82054854911. The next prime is 82054854961. The reversal of 82054854924 is 42945845028.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 206687094 + ... + 206687490.

It is an arithmetic number, because the mean of its divisors is an integer number (457349760).

Almost surely, 2^82054854924 is an apocalyptic number.

82054854924 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82054854924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131716730880).

82054854924 is an abundant number, since it is smaller than the sum of its proper divisors (181378606836).

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

82054854924 is a wasteful number, since it uses less digits than its factorization.

82054854924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 51.

The spelling of 82054854924 in words is "eighty-two billion, fifty-four million, eight hundred fifty-four thousand, nine hundred twenty-four".