87419579688 has 96 divisors (see below), whose sum is σ = 270629760960. Its totient is φ = 24972837120.

The previous prime is 87419579677. The next prime is 87419579699. The reversal of 87419579688 is 88697591478.

87419579688 is a `hidden beast` number, since 8 + 7 + 41 + 9 + 579 + 6 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (87419579677) and next prime (87419579699).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4216708 + ... + 4237388.

It is an arithmetic number, because the mean of its divisors is an integer number (2819060010).

Almost surely, 2^87419579688 is an apocalyptic number.

It is an amenable number.

87419579688 is an abundant number, since it is smaller than the sum of its proper divisors (183210181272).

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

87419579688 is a wasteful number, since it uses less digits than its factorization.

87419579688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29087 (or 29080 counting only the distinct ones).

The product of its digits is 243855360, while the sum is 72.

The spelling of 87419579688 in words is "eighty-seven billion, four hundred nineteen million, five hundred seventy-nine thousand, six hundred eighty-eight".