87447092527872 has 2592 divisors, whose sum is σ = 341790260378112. Its totient is φ = 21840830668800.

The previous prime is 87447092527867. The next prime is 87447092527889. The reversal of 87447092527872 is 27872529074478.

87447092527872 is a `hidden beast` number, since 8 + 7 + 4 + 4 + 7 + 0 + 92 + 527 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 87447092527872.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 556987850418 + ... + 556987850574.

Almost surely, 2^{87447092527872} 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 87447092527872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170895130189056).

87447092527872 is an abundant number, since it is smaller than the sum of its proper divisors (254343167850240).

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

87447092527872 is an equidigital number, since it uses as much as digits as its factorization.

87447092527872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 885104640, while the sum is 72.

The spelling of 87447092527872 in words is "eighty-seven trillion, four hundred forty-seven billion, ninety-two million, five hundred twenty-seven thousand, eight hundred seventy-two".