87736799845968 has 320 divisors, whose sum is σ = 284685778944000. Its totient is φ = 23136552875520.

The previous prime is 87736799845909. The next prime is 87736799845969. The reversal of 87736799845968 is 86954899763778.

It is a super-2 number, since 2×87736799845968² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87736799845969) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2211144753 + ... + 2211184431.

It is an arithmetic number, because the mean of its divisors is an integer number (889643059200).

Almost surely, 2^{87736799845968} 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 87736799845968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142342889472000).

87736799845968 is an abundant number, since it is smaller than the sum of its proper divisors (196948979098032).

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

87736799845968 is a wasteful number, since it uses less digits than its factorization.

87736799845968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50055 (or 50035 counting only the distinct ones).

The product of its digits is 276531978240, while the sum is 96.

The spelling of 87736799845968 in words is "eighty-seven trillion, seven hundred thirty-six billion, seven hundred ninety-nine million, eight hundred forty-five thousand, nine hundred sixty-eight".