82206351360 has 1344 divisors, whose sum is σ = 357694626240. Its totient is φ = 17836277760.

The previous prime is 82206351317. The next prime is 82206351379. The reversal of 82206351360 is 6315360228.

It is a happy number.

82206351360 is a `hidden beast` number, since 8 + 2 + 2 + 0 + 635 + 13 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2005032940 + ... + 2005032980.

It is an arithmetic number, because the mean of its divisors is an integer number (266141835).

Almost surely, 2^82206351360 is an apocalyptic number.

82206351360 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 82206351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178847313120).

82206351360 is an abundant number, since it is smaller than the sum of its proper divisors (275488274880).

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

82206351360 is a wasteful number, since it uses less digits than its factorization.

82206351360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 82206351360 in words is "eighty-two billion, two hundred six million, three hundred fifty-one thousand, three hundred sixty".