87584045472 has 240 divisors, whose sum is σ = 321142231872. Its totient is φ = 22749050880.

The previous prime is 87584045449. The next prime is 87584045513. The reversal of 87584045472 is 27454048578.

87584045472 is a `hidden beast` number, since 8 + 7 + 58 + 40 + 4 + 547 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19833 + ... + 419000.

Almost surely, 2^87584045472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87584045472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160571115936).

87584045472 is an abundant number, since it is smaller than the sum of its proper divisors (233558186400).

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

87584045472 is a wasteful number, since it uses less digits than its factorization.

87584045472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438873 (or 438856 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 54.

The spelling of 87584045472 in words is "eighty-seven billion, five hundred eighty-four million, forty-five thousand, four hundred seventy-two".