87916437513216 has 132 divisors (see below), whose sum is σ = 273384252353212. Its totient is φ = 27051211505664.

The previous prime is 87916437513181. The next prime is 87916437513239. The reversal of 87916437513216 is 61231573461978.

87916437513216 is a `hidden beast` number, since 8 + 7 + 9 + 1 + 64 + 37 + 513 + 21 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16393558818816 + 71522878694400 = 4048896^2 + 8457120^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 366785731 + ... + 367025346.

Almost surely, 2^{87916437513216} is an apocalyptic number.

It is an amenable number.

87916437513216 is an abundant number, since it is smaller than the sum of its proper divisors (185467814839996).

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

87916437513216 is a wasteful number, since it uses less digits than its factorization.

87916437513216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733811116 (or 733811095 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 87916437513216 in words is "eighty-seven trillion, nine hundred sixteen billion, four hundred thirty-seven million, five hundred thirteen thousand, two hundred sixteen".