81487411600 has 135 divisors (see below), whose sum is σ = 227848272897. Its totient is φ = 27924839040.

The previous prime is 81487411583. The next prime is 81487411609. The reversal of 81487411600 is 611478418.

The square root of 81487411600 is 285460.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29335468176 + 52151943424 = 171276^2 + 228368^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (81487411609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39963381 + ... + 39965419.

Almost surely, 2^81487411600 is an apocalyptic number.

81487411600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

81487411600 is the 285460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81487411600

81487411600 is an abundant number, since it is smaller than the sum of its proper divisors (146360861297).

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

81487411600 is an equidigital number, since it uses as much as digits as its factorization.

81487411600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The spelling of 81487411600 in words is "eighty-one billion, four hundred eighty-seven million, four hundred eleven thousand, six hundred".