87188134488 has 512 divisors, whose sum is σ = 287362252800. Its totient is φ = 21420951552.

The previous prime is 87188134463. The next prime is 87188134489. The reversal of 87188134488 is 88443188178.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87188134489) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 503977570 + ... + 503977742.

It is an arithmetic number, because the mean of its divisors is an integer number (561254400).

Almost surely, 2^87188134488 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 87188134488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143681126400).

87188134488 is an abundant number, since it is smaller than the sum of its proper divisors (200174118312).

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

87188134488 is a wasteful number, since it uses less digits than its factorization.

87188134488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 427 counting only the distinct ones).

The product of its digits is 11010048, while the sum is 60.

The spelling of 87188134488 in words is "eighty-seven billion, one hundred eighty-eight million, one hundred thirty-four thousand, four hundred eighty-eight".