10507563528 has 320 divisors, whose sum is σ = 33953497920. Its totient is φ = 2709315840.

The previous prime is 10507563499. The next prime is 10507563581. The reversal of 10507563528 is 82536570501.

It is a super-2 number, since 2×10507563528² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 10507563528.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 76697476 + ... + 76697612.

It is an arithmetic number, because the mean of its divisors is an integer number (106104681).

Almost surely, 2^10507563528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10507563528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16976748960).

10507563528 is an abundant number, since it is smaller than the sum of its proper divisors (23445934392).

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

10507563528 is an equidigital number, since it uses as much as digits as its factorization.

10507563528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 10507563528 in words is "ten billion, five hundred seven million, five hundred sixty-three thousand, five hundred twenty-eight".