87466111200 has 1152 divisors, whose sum is σ = 368526412800. Its totient is φ = 19841310720.

The previous prime is 87466111169. The next prime is 87466111219. The reversal of 87466111200 is 211166478.

It is a happy number.

87466111200 is a `hidden beast` number, since 87 + 466 + 1 + 112 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 187293367 + ... + 187293833.

It is an arithmetic number, because the mean of its divisors is an integer number (319901400).

Almost surely, 2^87466111200 is an apocalyptic number.

87466111200 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 87466111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184263206400).

87466111200 is an abundant number, since it is smaller than the sum of its proper divisors (281060301600).

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

87466111200 is a wasteful number, since it uses less digits than its factorization.

87466111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 87466111200 its reverse (211166478), we get a palindrome (87677277678).

The spelling of 87466111200 in words is "eighty-seven billion, four hundred sixty-six million, one hundred eleven thousand, two hundred".