87573047744 has 448 divisors, whose sum is σ = 237597696000. Its totient is φ = 31701196800.

The previous prime is 87573047701. The next prime is 87573047747. The reversal of 87573047744 is 44774037578.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 87573047744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87573047747) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168086204 + ... + 168086724.

It is an arithmetic number, because the mean of its divisors is an integer number (530352000).

Almost surely, 2^87573047744 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 87573047744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118798848000).

87573047744 is an abundant number, since it is smaller than the sum of its proper divisors (150024648256).

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

87573047744 is a wasteful number, since it uses less digits than its factorization.

87573047744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 18439680, while the sum is 56.

The spelling of 87573047744 in words is "eighty-seven billion, five hundred seventy-three million, forty-seven thousand, seven hundred forty-four".