10528145640 has 128 divisors (see below), whose sum is σ = 35949916800. Its totient is φ = 2739018240.

The previous prime is 10528145623. The next prime is 10528145659. The reversal of 10528145640 is 4654182501.

It is a happy number.

10528145640 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 8 + 1 + 4 + 5 + 640 = 666.

It is a super-2 number, since 2×10528145640² (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 = 10528145595 and 10528145604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74602 + ... + 163161.

It is an arithmetic number, because the mean of its divisors is an integer number (280858725).

Almost surely, 2^10528145640 is an apocalyptic number.

10528145640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10528145640 is an abundant number, since it is smaller than the sum of its proper divisors (25421771160).

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

10528145640 is a wasteful number, since it uses less digits than its factorization.

10528145640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237824 (or 237814 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 10528145640 in words is "ten billion, five hundred twenty-eight million, one hundred forty-five thousand, six hundred forty".