81200897899200 has 1008 divisors, whose sum is σ = 305223057458176. Its totient is φ = 20442394828800.

The previous prime is 81200897899153. The next prime is 81200897899207. The reversal of 81200897899200 is 299879800218.

81200897899200 is a `hidden beast` number, since 81 + 200 + 89 + 78 + 9 + 9 + 200 = 666.

It is not an unprimeable number, because it can be changed into a prime (81200897899207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19137612279 + ... + 19137616521.

Almost surely, 2^{81200897899200} is an apocalyptic number.

81200897899200 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 81200897899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152611528729088).

81200897899200 is an abundant number, since it is smaller than the sum of its proper divisors (224022159558976).

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

81200897899200 is a wasteful number, since it uses less digits than its factorization.

81200897899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5342 (or 5324 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 81200897899200 in words is "eighty-one trillion, two hundred billion, eight hundred ninety-seven million, eight hundred ninety-nine thousand, two hundred".