87530442144 has 192 divisors, whose sum is σ = 246540672000. Its totient is φ = 27108587520.

The previous prime is 87530442107. The next prime is 87530442173. The reversal of 87530442144 is 44124403578.

It is a junction number, because it is equal to n+sod(n) for n = 87530442096 and 87530442105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67905052 + ... + 67906340.

It is an arithmetic number, because the mean of its divisors is an integer number (1284066000).

Almost surely, 2^87530442144 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 87530442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123270336000).

87530442144 is an abundant number, since it is smaller than the sum of its proper divisors (159010229856).

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

87530442144 is a wasteful number, since it uses less digits than its factorization.

87530442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 87530442144 in words is "eighty-seven billion, five hundred thirty million, four hundred forty-two thousand, one hundred forty-four".