87121196568 has 320 divisors, whose sum is σ = 289210521600. Its totient is φ = 23974030080.

The previous prime is 87121196551. The next prime is 87121196579. The reversal of 87121196568 is 86569112178.

It is a happy number.

87121196568 is a `hidden beast` number, since 8 + 71 + 2 + 1 + 1 + 9 + 6 + 568 = 666.

It is a Cunningham number, because it is equal to 295163²-1.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 95632033 + ... + 95632943.

It is an arithmetic number, because the mean of its divisors is an integer number (903782880).

Almost surely, 2^87121196568 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 87121196568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144605260800).

87121196568 is an abundant number, since it is smaller than the sum of its proper divisors (202089325032).

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

87121196568 is a wasteful number, since it uses less digits than its factorization.

87121196568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1679 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The spelling of 87121196568 in words is "eighty-seven billion, one hundred twenty-one million, one hundred ninety-six thousand, five hundred sixty-eight".