87693191424 has 216 divisors, whose sum is σ = 256175337600. Its totient is φ = 28847702016.

The previous prime is 87693191381. The next prime is 87693191431. The reversal of 87693191424 is 42419139678.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106552677 + ... + 106553499.

Almost surely, 2^87693191424 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 87693191424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128087668800).

87693191424 is an abundant number, since it is smaller than the sum of its proper divisors (168482146176).

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

87693191424 is a wasteful number, since it uses less digits than its factorization.

87693191424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1380 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 87693191424 in words is "eighty-seven billion, six hundred ninety-three million, one hundred ninety-one thousand, four hundred twenty-four".