10407290553 has 24 divisors (see below), whose sum is σ = 16403013120. Its totient is φ = 6306046560.

The previous prime is 10407290549. The next prime is 10407290563. The reversal of 10407290553 is 35509270401.

10407290553 is a `hidden beast` number, since 10 + 4 + 0 + 7 + 2 + 90 + 553 = 666.

10407290553 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10407290553 - 2² = 10407290549 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10407290563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 593175 + ... + 610467.

It is an arithmetic number, because the mean of its divisors is an integer number (683458880).

Almost surely, 2^10407290553 is an apocalyptic number.

It is an amenable number.

10407290553 is a deficient number, since it is larger than the sum of its proper divisors (5995722567).

10407290553 is a wasteful number, since it uses less digits than its factorization.

10407290553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23389 (or 23386 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 10407290553 in words is "ten billion, four hundred seven million, two hundred ninety thousand, five hundred fifty-three".