82811451340800 has 4752 divisors, whose sum is σ = 394795798717320. Its totient is φ = 17065973514240.

The previous prime is 82811451340703. The next prime is 82811451340841. The reversal of 82811451340800 is 804315411828.

82811451340800 is a `hidden beast` number, since 8 + 2 + 8 + 1 + 14 + 513 + 40 + 80 + 0 = 666.

It is a super-2 number, since 2×82811451340800² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 395 ways as a sum of consecutive naturals, for example, 1925847705579 + ... + 1925847705621.

Almost surely, 2^{82811451340800} is an apocalyptic number.

82811451340800 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 82811451340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197397899358660).

82811451340800 is an abundant number, since it is smaller than the sum of its proper divisors (311984347376520).

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

82811451340800 is an equidigital number, since it uses as much as digits as its factorization.

82811451340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 82811451340800 in words is "eighty-two trillion, eight hundred eleven billion, four hundred fifty-one million, three hundred forty thousand, eight hundred".