10535920640 has 176 divisors, whose sum is σ = 29287362432. Its totient is φ = 3561947136.

The previous prime is 10535920631. The next prime is 10535920651. The reversal of 10535920640 is 4602953501.

It is a super-2 number, since 2×10535920640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 10535920640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2614307 + ... + 2618333.

Almost surely, 2^10535920640 is an apocalyptic number.

10535920640 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 10535920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14643681216).

10535920640 is an abundant number, since it is smaller than the sum of its proper divisors (18751441792).

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

10535920640 is an equidigital number, since it uses as much as digits as its factorization.

10535920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4132 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 10535920640 in words is "ten billion, five hundred thirty-five million, nine hundred twenty thousand, six hundred forty".