87119587584 has 360 divisors, whose sum is σ = 267574889120. Its totient is φ = 28181716992.

The previous prime is 87119587567. The next prime is 87119587589. The reversal of 87119587584 is 48578591178.

It is not an unprimeable number, because it can be changed into a prime (87119587589) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 101419347 + ... + 101420205.

Almost surely, 2^87119587584 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 87119587584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133787444560).

87119587584 is an abundant number, since it is smaller than the sum of its proper divisors (180455301536).

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

87119587584 is an equidigital number, since it uses as much as digits as its factorization.

87119587584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1004 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 63.

The spelling of 87119587584 in words is "eighty-seven billion, one hundred nineteen million, five hundred eighty-seven thousand, five hundred eighty-four".