81055747717200 has 360 divisors, whose sum is σ = 282093908896800. Its totient is φ = 21552849239040.

The previous prime is 81055747717159. The next prime is 81055747717207. The reversal of 81055747717200 is 271774755018.

81055747717200 is a `hidden beast` number, since 8 + 1 + 0 + 557 + 4 + 77 + 17 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×81055747717200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81055747717207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2402417931 + ... + 2402451669.

It is an arithmetic number, because the mean of its divisors is an integer number (783594191380).

Almost surely, 2^{81055747717200} is an apocalyptic number.

81055747717200 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 81055747717200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141046954448400).

81055747717200 is an abundant number, since it is smaller than the sum of its proper divisors (201038161179600).

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

81055747717200 is a wasteful number, since it uses less digits than its factorization.

81055747717200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35659 (or 35645 counting only the distinct ones).

The product of its (nonzero) digits is 3841600, while the sum is 54.

The spelling of 81055747717200 in words is "eighty-one trillion, fifty-five billion, seven hundred forty-seven million, seven hundred seventeen thousand, two hundred".