81018106675200 has 1680 divisors, whose sum is σ = 308390563173000. Its totient is φ = 21097768550400.

The previous prime is 81018106675157. The next prime is 81018106675309. The reversal of 81018106675200 is 257660181018.

81018106675200 is a `hidden beast` number, since 8 + 1 + 0 + 18 + 106 + 6 + 7 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 582864076731 + ... + 582864076869.

Almost surely, 2^{81018106675200} is an apocalyptic number.

81018106675200 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 81018106675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154195281586500).

81018106675200 is an abundant number, since it is smaller than the sum of its proper divisors (227372456497800).

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

81018106675200 is an frugal number, since it uses more digits than its factorization.

81018106675200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 81018106675200 in words is "eighty-one trillion, eighteen billion, one hundred six million, six hundred seventy-five thousand, two hundred".