87249052800 has 1536 divisors, whose sum is σ = 400749350400. Its totient is φ = 18274222080.

The previous prime is 87249052729. The next prime is 87249052819. The reversal of 87249052800 is 825094278.

87249052800 is a `hidden beast` number, since 87 + 2 + 49 + 0 + 528 + 0 + 0 = 666.

It is a super-3 number, since 3×87249052800³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 636854332 + ... + 636854468.

It is an arithmetic number, because the mean of its divisors is an integer number (260904525).

Almost surely, 2^87249052800 is an apocalyptic number.

87249052800 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 87249052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200374675200).

87249052800 is an abundant number, since it is smaller than the sum of its proper divisors (313500297600).

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

87249052800 is a wasteful number, since it uses less digits than its factorization.

87249052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 87249052800 in words is "eighty-seven billion, two hundred forty-nine million, fifty-two thousand, eight hundred".