10761120864 has 144 divisors (see below), whose sum is σ = 34176843792. Its totient is φ = 3311083008.

The previous prime is 10761120859. The next prime is 10761120871. The reversal of 10761120864 is 46802116701.

It is a happy number.

10761120864 is a `hidden beast` number, since 10 + 7 + 611 + 20 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10761120864² (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).

It is a congruent number.

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, 47862 + ... + 154314.

It is an arithmetic number, because the mean of its divisors is an integer number (237339193).

Almost surely, 2^10761120864 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 10761120864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17088421896).

10761120864 is an abundant number, since it is smaller than the sum of its proper divisors (23415722928).

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

10761120864 is a wasteful number, since it uses less digits than its factorization.

10761120864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106491 (or 106471 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10761120864 in words is "ten billion, seven hundred sixty-one million, one hundred twenty thousand, eight hundred sixty-four".