87499180800 has 540 divisors, whose sum is σ = 328946855776. Its totient is φ = 22942310400.

The previous prime is 87499180777. The next prime is 87499180831. The reversal of 87499180800 is 808199478.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×87499180800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 59 ways as a sum of consecutive naturals, for example, 31621017 + ... + 31623783.

Almost surely, 2^87499180800 is an apocalyptic number.

87499180800 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 87499180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164473427888).

87499180800 is an abundant number, since it is smaller than the sum of its proper divisors (241447674976).

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

87499180800 is a wasteful number, since it uses less digits than its factorization.

87499180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 87499180800 in words is "eighty-seven billion, four hundred ninety-nine million, one hundred eighty thousand, eight hundred".