10540661355 has 32 divisors (see below), whose sum is σ = 21415948800. Its totient is φ = 4818587616.

The previous prime is 10540661303. The next prime is 10540661387. The reversal of 10540661355 is 55316604501.

10540661355 is a `hidden beast` number, since 1 + 0 + 540 + 6 + 61 + 3 + 55 = 666.

It is not a de Polignac number, because 10540661355 - 2⁷ = 10540661227 is a prime.

It is a super-2 number, since 2×10540661355² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5576125 + ... + 5578014.

It is an arithmetic number, because the mean of its divisors is an integer number (669248400).

Almost surely, 2^10540661355 is an apocalyptic number.

10540661355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10540661355 is an abundant number, since it is smaller than the sum of its proper divisors (10875287445).

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

10540661355 is a wasteful number, since it uses less digits than its factorization.

10540661355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11154160 (or 11154154 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 10540661355 in words is "ten billion, five hundred forty million, six hundred sixty-one thousand, three hundred fifty-five".