10587121164 has 18 divisors (see below), whose sum is σ = 26761889700. Its totient is φ = 3529040376.

The previous prime is 10587121151. The next prime is 10587121169. The reversal of 10587121164 is 46112178501.

10587121164 is a `hidden beast` number, since 1 + 0 + 587 + 1 + 2 + 11 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×10587121164² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 294086699 = 10587121164 / (1 + 0 + 5 + 8 + 7 + 1 + 2 + 1 + 1 + 6 + 4).

It is not an unprimeable number, because it can be changed into a prime (10587121169) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147043314 + ... + 147043385.

It is an arithmetic number, because the mean of its divisors is an integer number (1486771650).

Almost surely, 2^10587121164 is an apocalyptic number.

It is an amenable number.

10587121164 is an abundant number, since it is smaller than the sum of its proper divisors (16174768536).

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

10587121164 is a wasteful number, since it uses less digits than its factorization.

10587121164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294086709 (or 294086704 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

Adding to 10587121164 its reverse (46112178501), we get a palindrome (56699299665).

The spelling of 10587121164 in words is "ten billion, five hundred eighty-seven million, one hundred twenty-one thousand, one hundred sixty-four".