81371700900 has 360 divisors, whose sum is σ = 317327398080. Its totient is φ = 17620104960.

The previous prime is 81371700869. The next prime is 81371700901. The reversal of 81371700900 is 900717318.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (81371700901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1039534 + ... + 1115066.

Almost surely, 2^81371700900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81371700900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158663699040).

81371700900 is an abundant number, since it is smaller than the sum of its proper divisors (235955697180).

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

81371700900 is a wasteful number, since it uses less digits than its factorization.

81371700900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75585 (or 75569 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 81371700900 in words is "eighty-one billion, three hundred seventy-one million, seven hundred thousand, nine hundred".