10501750480 has 80 divisors (see below), whose sum is σ = 26447213520. Its totient is φ = 3855089664.

The previous prime is 10501750477. The next prime is 10501750549. The reversal of 10501750480 is 8405710501.

It can be written as a sum of positive squares in 8 ways, for example, as 419904 + 10501330576 = 648^2 + 102476^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10501750480² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 150736 + ... + 209104.

It is an arithmetic number, because the mean of its divisors is an integer number (330590169).

Almost surely, 2^10501750480 is an apocalyptic number.

10501750480 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 10501750480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13223606760).

10501750480 is an abundant number, since it is smaller than the sum of its proper divisors (15945463040).

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

10501750480 is a wasteful number, since it uses less digits than its factorization.

10501750480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58568 (or 58562 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 31.

The spelling of 10501750480 in words is "ten billion, five hundred one million, seven hundred fifty thousand, four hundred eighty".