87260181811200 has 936 divisors, whose sum is σ = 325490303634496. Its totient is φ = 23171235840000.

The previous prime is 87260181811163. The next prime is 87260181811211. The reversal of 87260181811200 is 211818106278.

87260181811200 is a `hidden beast` number, since 8 + 7 + 2 + 601 + 8 + 1 + 8 + 11 + 20 + 0 = 666.

It is a super-2 number, since 2×87260181811200² (a number of 29 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5996843925 + ... + 5996858475.

Almost surely, 2^{87260181811200} is an apocalyptic number.

87260181811200 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 87260181811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162745151817248).

87260181811200 is an abundant number, since it is smaller than the sum of its proper divisors (238230121823296).

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

87260181811200 is a wasteful number, since it uses less digits than its factorization.

87260181811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14841 (or 14802 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 45.

Adding to 87260181811200 its reverse (211818106278), we get a palindrome (87471999917478).

The spelling of 87260181811200 in words is "eighty-seven trillion, two hundred sixty billion, one hundred eighty-one million, eight hundred eleven thousand, two hundred".