81622800000 has 1152 divisors, whose sum is σ = 348052723200. Its totient is φ = 17971200000.

The previous prime is 81622799953. The next prime is 81622800001. The reversal of 81622800000 is 822618.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (81622800001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1033199961 + ... + 1033200039.

It is an arithmetic number, because the mean of its divisors is an integer number (302129100).

Almost surely, 2^81622800000 is an apocalyptic number.

81622800000 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 81622800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174026361600).

81622800000 is an abundant number, since it is smaller than the sum of its proper divisors (266429923200).

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

81622800000 is an equidigital number, since it uses as much as digits as its factorization.

81622800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 81622800000 in words is "eighty-one billion, six hundred twenty-two million, eight hundred thousand".