81332353200 has 240 divisors, whose sum is σ = 304090536960. Its totient is φ = 18194626560.

The previous prime is 81332353183. The next prime is 81332353213. The reversal of 81332353200 is 235323318.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×81332353200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291796 + ... + 497804.

It is an arithmetic number, because the mean of its divisors is an integer number (1267043904).

Almost surely, 2^81332353200 is an apocalyptic number.

81332353200 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 81332353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152045268480).

81332353200 is an abundant number, since it is smaller than the sum of its proper divisors (222758183760).

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

81332353200 is a wasteful number, since it uses less digits than its factorization.

81332353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206084 (or 206073 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 81332353200 its reverse (235323318), we get a palindrome (81567676518).

The spelling of 81332353200 in words is "eighty-one billion, three hundred thirty-two million, three hundred fifty-three thousand, two hundred".