10540435100553 has 12 divisors (see below), whose sum is σ = 15297229669488. Its totient is φ = 6993653619960.

The previous prime is 10540435100551. The next prime is 10540435100639. The reversal of 10540435100553 is 35500153404501.

10540435100553 is a `hidden beast` number, since 1 + 0 + 54 + 0 + 4 + 3 + 51 + 0 + 0 + 553 = 666.

It is not a de Polignac number, because 10540435100553 - 2¹ = 10540435100551 is a prime.

It is a super-2 number, since 2×10540435100553² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10540435100551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2775257475 + ... + 2775261272.

It is an arithmetic number, because the mean of its divisors is an integer number (1274769139124).

Almost surely, 2^{10540435100553} is an apocalyptic number.

It is an amenable number.

10540435100553 is a deficient number, since it is larger than the sum of its proper divisors (4756794568935).

10540435100553 is a wasteful number, since it uses less digits than its factorization.

10540435100553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550518964 (or 5550518961 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 10540435100553 in words is "ten trillion, five hundred forty billion, four hundred thirty-five million, one hundred thousand, five hundred fifty-three".