87539039238144 has 384 divisors, whose sum is σ = 268386735052800. Its totient is φ = 25167359508480.

The previous prime is 87539039238143. The next prime is 87539039238163. The reversal of 87539039238144 is 44183293093578.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87539039238143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71195367 + ... + 72414489.

It is an arithmetic number, because the mean of its divisors is an integer number (698923789200).

Almost surely, 2^{87539039238144} 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 87539039238144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134193367526400).

87539039238144 is an abundant number, since it is smaller than the sum of its proper divisors (180847695814656).

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

87539039238144 is a wasteful number, since it uses less digits than its factorization.

87539039238144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219221 (or 1219201 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 87539039238144 in words is "eighty-seven trillion, five hundred thirty-nine billion, thirty-nine million, two hundred thirty-eight thousand, one hundred forty-four".