87006441600 has 1344 divisors, whose sum is σ = 367725422400. Its totient is φ = 20155392000.

The previous prime is 87006441593. The next prime is 87006441601. The reversal of 87006441600 is 614460078.

87006441600 is a `hidden beast` number, since 8 + 7 + 0 + 0 + 6 + 4 + 41 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (87006441601) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 576201525 + ... + 576201675.

It is an arithmetic number, because the mean of its divisors is an integer number (273605225).

Almost surely, 2^87006441600 is an apocalyptic number.

87006441600 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 87006441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183862711200).

87006441600 is an abundant number, since it is smaller than the sum of its proper divisors (280718980800).

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

87006441600 is a wasteful number, since it uses less digits than its factorization.

87006441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 87006441600 in words is "eighty-seven billion, six million, four hundred forty-one thousand, six hundred".