10501750400 has 96 divisors (see below), whose sum is σ = 26185913280. Its totient is φ = 4161305600.

The previous prime is 10501750397. The next prime is 10501750403. The reversal of 10501750400 is 405710501.

It is an interprime number because it is at equal distance from previous prime (10501750397) and next prime (10501750403).

It is a super-2 number, since 2×10501750400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10501750403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327065 + ... + 357735.

It is an arithmetic number, because the mean of its divisors is an integer number (272769930).

Almost surely, 2^10501750400 is an apocalyptic number.

10501750400 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 10501750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13092956640).

10501750400 is an abundant number, since it is smaller than the sum of its proper divisors (15684162880).

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

10501750400 is a wasteful number, since it uses less digits than its factorization.

10501750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30802 (or 30785 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 23.

The spelling of 10501750400 in words is "ten billion, five hundred one million, seven hundred fifty thousand, four hundred".