10535127504 has 40 divisors (see below), whose sum is σ = 29689906272. Its totient is φ = 3192462720.

The previous prime is 10535127479. The next prime is 10535127509. The reversal of 10535127504 is 40572153501.

10535127504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10535127504² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10535127509) 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 7 ways as a sum of consecutive naturals, for example, 9975919 + ... + 9976974.

Almost surely, 2^10535127504 is an apocalyptic number.

It is an amenable number.

10535127504 is an abundant number, since it is smaller than the sum of its proper divisors (19154778768).

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

10535127504 is a wasteful number, since it uses less digits than its factorization.

10535127504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19952915 (or 19952909 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The spelling of 10535127504 in words is "ten billion, five hundred thirty-five million, one hundred twenty-seven thousand, five hundred four".