82149903360 has 396 divisors, whose sum is σ = 331129401408. Its totient is φ = 18776604672.

The previous prime is 82149903343. The next prime is 82149903371. The reversal of 82149903360 is 6330994128.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 2239729 + ... + 2276111.

Almost surely, 2^82149903360 is an apocalyptic number.

82149903360 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 82149903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165564700704).

82149903360 is an abundant number, since it is smaller than the sum of its proper divisors (248979498048).

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

82149903360 is a wasteful number, since it uses less digits than its factorization.

82149903360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36428 (or 36400 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 82149903360 in words is "eighty-two billion, one hundred forty-nine million, nine hundred three thousand, three hundred sixty".