87538517635140 has 480 divisors, whose sum is σ = 324675631171584. Its totient is φ = 19464259875840.

The previous prime is 87538517635133. The next prime is 87538517635181. The reversal of 87538517635140 is 4153671583578.

87538517635140 is a `hidden beast` number, since 8 + 7 + 5 + 3 + 8 + 51 + 7 + 63 + 514 + 0 = 666.

87538517635140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35167197 + ... + 37574043.

Almost surely, 2^{87538517635140} 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 87538517635140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162337815585792).

87538517635140 is an abundant number, since it is smaller than the sum of its proper divisors (237137113536444).

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

87538517635140 is a wasteful number, since it uses less digits than its factorization.

87538517635140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407049 (or 2407038 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 63.

The spelling of 87538517635140 in words is "eighty-seven trillion, five hundred thirty-eight billion, five hundred seventeen million, six hundred thirty-five thousand, one hundred forty".