87575651624384 has 896 divisors, whose sum is σ = 237969990912000. Its totient is φ = 31867018444800.

The previous prime is 87575651624369. The next prime is 87575651624393. The reversal of 87575651624384 is 48342615657578.

87575651624384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40525520264 + ... + 40525522424.

Almost surely, 2^{87575651624384} 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 87575651624384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118984995456000).

87575651624384 is an abundant number, since it is smaller than the sum of its proper divisors (150394339287616).

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

87575651624384 is a wasteful number, since it uses less digits than its factorization.

87575651624384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2273 counting only the distinct ones).

The product of its digits is 1354752000, while the sum is 71.

The spelling of 87575651624384 in words is "eighty-seven trillion, five hundred seventy-five billion, six hundred fifty-one million, six hundred twenty-four thousand, three hundred eighty-four".