82049703397200 has 2160 divisors, whose sum is σ = 376164333941760. Its totient is φ = 16983437184000.

The previous prime is 82049703397199. The next prime is 82049703397219. The reversal of 82049703397200 is 279330794028.

82049703397200 is a `hidden beast` number, since 8 + 2 + 0 + 49 + 7 + 0 + 3 + 397 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 14197903911 + ... + 14197909689.

Almost surely, 2^{82049703397200} is an apocalyptic number.

82049703397200 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 82049703397200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188082166970880).

82049703397200 is an abundant number, since it is smaller than the sum of its proper divisors (294114630544560).

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

82049703397200 is a wasteful number, since it uses less digits than its factorization.

82049703397200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6108 (or 6078 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 82049703397200 in words is "eighty-two trillion, forty-nine billion, seven hundred three million, three hundred ninety-seven thousand, two hundred".