10534971041280 has 800 divisors, whose sum is σ = 43285271261760. Its totient is φ = 2398952816640.

The previous prime is 10534971041279. The next prime is 10534971041299. The reversal of 10534971041280 is 8214017943501.

10534971041280 is a `hidden beast` number, since 1 + 0 + 53 + 49 + 71 + 0 + 412 + 80 = 666.

It is a super-3 number, since 3×10534971041280³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 390445390 + ... + 390472370.

Almost surely, 2^{10534971041280} is an apocalyptic number.

10534971041280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10534971041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21642635630880).

10534971041280 is an abundant number, since it is smaller than the sum of its proper divisors (32750300220480).

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

10534971041280 is an equidigital number, since it uses as much as digits as its factorization.

10534971041280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27292 (or 27267 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

Adding to 10534971041280 its reverse (8214017943501), we get a palindrome (18748988984781).

The spelling of 10534971041280 in words is "ten trillion, five hundred thirty-four billion, nine hundred seventy-one million, forty-one thousand, two hundred eighty".