10535066640 has 480 divisors, whose sum is σ = 42711552000. Its totient is φ = 2323399680.

The previous prime is 10535066639. The next prime is 10535066701. The reversal of 10535066640 is 4666053501.

It is a super-2 number, since 2×10535066640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10535066595 and 10535066604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7161105 + ... + 7162575.

It is an arithmetic number, because the mean of its divisors is an integer number (88982400).

Almost surely, 2^10535066640 is an apocalyptic number.

10535066640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10535066640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21355776000).

10535066640 is an abundant number, since it is smaller than the sum of its proper divisors (32176485360).

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

10535066640 is a wasteful number, since it uses less digits than its factorization.

10535066640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 10535066640 in words is "ten billion, five hundred thirty-five million, sixty-six thousand, six hundred forty".