82547835300 has 648 divisors, whose sum is σ = 311755796352. Its totient is φ = 18204480000.

The previous prime is 82547835269. The next prime is 82547835319. The reversal of 82547835300 is 353874528.

It is a super-2 number, since 2×82547835300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 191526085 + ... + 191526515.

It is an arithmetic number, because the mean of its divisors is an integer number (481104624).

Almost surely, 2^82547835300 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 82547835300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155877898176).

82547835300 is an abundant number, since it is smaller than the sum of its proper divisors (229207961052).

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

82547835300 is a wasteful number, since it uses less digits than its factorization.

82547835300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 82547835300 in words is "eighty-two billion, five hundred forty-seven million, eight hundred thirty-five thousand, three hundred".