10584743268978 has 36 divisors (see below), whose sum is σ = 23974076694750. Its totient is φ = 3374845676928.

The previous prime is 10584743268977. The next prime is 10584743269033. The reversal of 10584743268978 is 87986234748501.

It is a happy number.

10584743268978 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 47 + 432 + 6 + 89 + 78 = 666.

10584743268978 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10513916495289 + 70826773689 = 3242517^2 + 266133^2 .

It is a super-2 number, since 2×10584743268978² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10584743268973) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 555795103 + ... + 555814146.

It is a 1-persistent number, because it is pandigital, but 2⋅10584743268978 = 21169486537956 is not.

Almost surely, 2^{10584743268978} is an apocalyptic number.

10584743268978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10584743268978 is an abundant number, since it is smaller than the sum of its proper divisors (13389333425772).

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

10584743268978 is a wasteful number, since it uses less digits than its factorization.

10584743268978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111609303 (or 1111609277 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 10584743268978 in words is "ten trillion, five hundred eighty-four billion, seven hundred forty-three million, two hundred sixty-eight thousand, nine hundred seventy-eight".