81862099200 has 1080 divisors, whose sum is σ = 366546039552. Its totient is φ = 17597399040.

The previous prime is 81862099181. The next prime is 81862099201. The reversal of 81862099200 is 299026818.

81862099200 is a `hidden beast` number, since 8 + 18 + 620 + 9 + 9 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is not an unprimeable number, because it can be changed into a prime (81862099201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 61688937 + ... + 61690263.

Almost surely, 2^81862099200 is an apocalyptic number.

81862099200 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 81862099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183273019776).

81862099200 is an abundant number, since it is smaller than the sum of its proper divisors (284683940352).

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

81862099200 is a wasteful number, since it uses less digits than its factorization.

81862099200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 81862099200 in words is "eighty-one billion, eight hundred sixty-two million, ninety-nine thousand, two hundred".