81896175900 has 1296 divisors, whose sum is σ = 350964536832. Its totient is φ = 16183411200.

The previous prime is 81896175899. The next prime is 81896175917. The reversal of 81896175900 is 957169818.

81896175900 is a `hidden beast` number, since 8 + 18 + 9 + 617 + 5 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 473388214 + ... + 473388386.

Almost surely, 2^81896175900 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 81896175900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175482268416).

81896175900 is an abundant number, since it is smaller than the sum of its proper divisors (269068360932).

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

81896175900 is a wasteful number, since it uses less digits than its factorization.

81896175900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 81896175900 in words is "eighty-one billion, eight hundred ninety-six million, one hundred seventy-five thousand, nine hundred".