82825908480 has 864 divisors, whose sum is σ = 343735392000. Its totient is φ = 18704203776.

The previous prime is 82825908467. The next prime is 82825908497. The reversal of 82825908480 is 8480952828.

It is a happy number.

82825908480 is a `hidden beast` number, since 8 + 2 + 8 + 2 + 590 + 8 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×82825908480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237323346 + ... + 237323694.

Almost surely, 2^82825908480 is an apocalyptic number.

82825908480 is a gapful number since it is divisible by the number (80) 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 82825908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171867696000).

82825908480 is an abundant number, since it is smaller than the sum of its proper divisors (260909483520).

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

82825908480 is a wasteful number, since it uses less digits than its factorization.

82825908480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 82825908480 in words is "eighty-two billion, eight hundred twenty-five million, nine hundred eight thousand, four hundred eighty".