87266440800 has 1152 divisors, whose sum is σ = 399574425600. Its totient is φ = 17853696000.

The previous prime is 87266440769. The next prime is 87266440837. The reversal of 87266440800 is 804466278.

87266440800 is a `hidden beast` number, since 8 + 72 + 66 + 440 + 80 + 0 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118086831 + ... + 118087569.

It is an arithmetic number, because the mean of its divisors is an integer number (346852800).

Almost surely, 2^87266440800 is an apocalyptic number.

87266440800 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 87266440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199787212800).

87266440800 is an abundant number, since it is smaller than the sum of its proper divisors (312307984800).

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

87266440800 is a wasteful number, since it uses less digits than its factorization.

87266440800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 87266440800 in words is "eighty-seven billion, two hundred sixty-six million, four hundred forty thousand, eight hundred".