87611161543584 has 192 divisors, whose sum is σ = 269253615117312. Its totient is φ = 24420362803200.

The previous prime is 87611161543537. The next prime is 87611161543613. The reversal of 87611161543584 is 48534516111678.

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, 1490285839 + ... + 1490344625.

It is an arithmetic number, because the mean of its divisors is an integer number (1402362578736).

Almost surely, 2^{87611161543584} is an apocalyptic number.

87611161543584 is a gapful number since it is divisible by the number (84) 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 87611161543584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134626807558656).

87611161543584 is an abundant number, since it is smaller than the sum of its proper divisors (181642453573728).

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

87611161543584 is a wasteful number, since it uses less digits than its factorization.

87611161543584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112939 (or 112931 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 60.

The spelling of 87611161543584 in words is "eighty-seven trillion, six hundred eleven billion, one hundred sixty-one million, five hundred forty-three thousand, five hundred eighty-four".