81187604575200 has 576 divisors, whose sum is σ = 310943435221440. Its totient is φ = 20373700608000.

The previous prime is 81187604575141. The next prime is 81187604575201. The reversal of 81187604575200 is 257540678118.

81187604575200 is a `hidden beast` number, since 8 + 1 + 1 + 8 + 7 + 60 + 4 + 57 + 520 + 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 not an unprimeable number, because it can be changed into a prime (81187604575201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4465510110 + ... + 4465528290.

It is an arithmetic number, because the mean of its divisors is an integer number (539832352815).

Almost surely, 2^{81187604575200} is an apocalyptic number.

81187604575200 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 81187604575200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155471717610720).

81187604575200 is an abundant number, since it is smaller than the sum of its proper divisors (229755830646240).

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

81187604575200 is a wasteful number, since it uses less digits than its factorization.

81187604575200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30388 (or 30369 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 81187604575200 in words is "eighty-one trillion, one hundred eighty-seven billion, six hundred four million, five hundred seventy-five thousand, two hundred".