86516401887 has 80 divisors (see below), whose sum is σ = 143964928800. Its totient is φ = 51523153920.

The previous prime is 86516401877. The next prime is 86516401891. The reversal of 86516401887 is 78810461568.

It is a happy number.

86516401887 is a `hidden beast` number, since 8 + 6 + 516 + 40 + 1 + 8 + 87 = 666.

It is not a de Polignac number, because 86516401887 - 2¹⁰ = 86516400863 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86516401877) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2337687 + ... + 2374407.

It is an arithmetic number, because the mean of its divisors is an integer number (1799561610).

Almost surely, 2^86516401887 is an apocalyptic number.

86516401887 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

86516401887 is a deficient number, since it is larger than the sum of its proper divisors (57448526913).

86516401887 is a wasteful number, since it uses less digits than its factorization.

86516401887 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36838 (or 36829 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 86516401887 in words is "eighty-six billion, five hundred sixteen million, four hundred one thousand, eight hundred eighty-seven".