87543538288353 has 40 divisors (see below), whose sum is σ = 149733307204800. Its totient is φ = 49932411418080.

The previous prime is 87543538288319. The next prime is 87543538288433. The reversal of 87543538288353 is 35388283534578.

87543538288353 is a `hidden beast` number, since 8 + 7 + 5 + 4 + 3 + 538 + 2 + 8 + 83 + 5 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-87543538288353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87543538283353) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142389903 + ... + 143003396.

It is an arithmetic number, because the mean of its divisors is an integer number (3743332680120).

Almost surely, 2^{87543538288353} is an apocalyptic number.

It is an amenable number.

87543538288353 is a deficient number, since it is larger than the sum of its proper divisors (62189768916447).

87543538288353 is a wasteful number, since it uses less digits than its factorization.

87543538288353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285393859 (or 285393850 counting only the distinct ones).

The product of its digits is 2322432000, while the sum is 72.

The spelling of 87543538288353 in words is "eighty-seven trillion, five hundred forty-three billion, five hundred thirty-eight million, two hundred eighty-eight thousand, three hundred fifty-three".