82827507840 has 512 divisors, whose sum is σ = 340526592000. Its totient is φ = 16616570880.

The previous prime is 82827507799. The next prime is 82827507853. The reversal of 82827507840 is 4870572828.

It is a super-2 number, since 2×82827507840² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4277701 + ... + 4297019.

It is an arithmetic number, because the mean of its divisors is an integer number (665091000).

Almost surely, 2^82827507840 is an apocalyptic number.

82827507840 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 82827507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170263296000).

82827507840 is an abundant number, since it is smaller than the sum of its proper divisors (257699084160).

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

82827507840 is a wasteful number, since it uses less digits than its factorization.

82827507840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19388 (or 19376 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 51.

The spelling of 82827507840 in words is "eighty-two billion, eight hundred twenty-seven million, five hundred seven thousand, eight hundred forty".