10535552560 has 40 divisors (see below), whose sum is σ = 26379405360. Its totient is φ = 3890049792.

The previous prime is 10535552557. The next prime is 10535552567. The reversal of 10535552560 is 6525553501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10535552560² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10535552567) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5064130 + ... + 5066209.

It is an arithmetic number, because the mean of its divisors is an integer number (659485134).

Almost surely, 2^10535552560 is an apocalyptic number.

10535552560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10535552560 is an abundant number, since it is smaller than the sum of its proper divisors (15843852800).

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

10535552560 is a wasteful number, since it uses less digits than its factorization.

10535552560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10130365 (or 10130359 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 37.

The spelling of 10535552560 in words is "ten billion, five hundred thirty-five million, five hundred fifty-two thousand, five hundred sixty".