87965733756978 has 48 divisors (see below), whose sum is σ = 237621722360256. Its totient is φ = 22848242533920.

The previous prime is 87965733756961. The next prime is 87965733756983.

87965733756978 is a `hidden beast` number, since 8 + 7 + 9 + 6 + 5 + 7 + 3 + 37 + 569 + 7 + 8 = 666.

87965733756978 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31733668801 + ... + 31733671572.

It is an arithmetic number, because the mean of its divisors is an integer number (4950452549172).

Almost surely, 2^{87965733756978} is an apocalyptic number.

87965733756978 is an abundant number, since it is smaller than the sum of its proper divisors (149655988603278).

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

87965733756978 is a wasteful number, since it uses less digits than its factorization.

87965733756978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63467340399 (or 63467340396 counting only the distinct ones).

The product of its digits is 100818950400, while the sum is 90.

The spelling of 87965733756978 in words is "eighty-seven trillion, nine hundred sixty-five billion, seven hundred thirty-three million, seven hundred fifty-six thousand, nine hundred seventy-eight".