81332033400 has 72 divisors (see below), whose sum is σ = 273140084880. Its totient is φ = 21688541760.

The previous prime is 81332033399. The next prime is 81332033401. The reversal of 81332033400 is 433023318.

81332033400 is a `hidden beast` number, since 8 + 1 + 3 + 320 + 334 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (81332033399) and next prime (81332033401).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×81332033400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81332033401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22590432 + ... + 22594031.

It is an arithmetic number, because the mean of its divisors is an integer number (3793612290).

Almost surely, 2^81332033400 is an apocalyptic number.

It is an amenable number.

81332033400 is an abundant number, since it is smaller than the sum of its proper divisors (191808051480).

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

81332033400 is a wasteful number, since it uses less digits than its factorization.

81332033400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45184485 (or 45184473 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 81332033400 its reverse (433023318), we get a palindrome (81765056718).

The spelling of 81332033400 in words is "eighty-one billion, three hundred thirty-two million, thirty-three thousand, four hundred".