87033144704 has 256 divisors, whose sum is σ = 198158745600. Its totient is φ = 37739520000.

The previous prime is 87033144701. The next prime is 87033144721. The reversal of 87033144704 is 40744133078.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87033144701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685300289 + ... + 685300415.

It is an arithmetic number, because the mean of its divisors is an integer number (774057600).

Almost surely, 2^87033144704 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 87033144704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99079372800).

87033144704 is an abundant number, since it is smaller than the sum of its proper divisors (111125600896).

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

87033144704 is a wasteful number, since it uses less digits than its factorization.

87033144704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 41.

The spelling of 87033144704 in words is "eighty-seven billion, thirty-three million, one hundred forty-four thousand, seven hundred four".