10375430688 has 144 divisors (see below), whose sum is σ = 34883110080. Its totient is φ = 2862171648.

The previous prime is 10375430671. The next prime is 10375430713. The reversal of 10375430688 is 88603457301.

10375430688 is a `hidden beast` number, since 10 + 37 + 543 + 0 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10375430688² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30270 + ... + 147197.

It is an arithmetic number, because the mean of its divisors is an integer number (242243820).

Almost surely, 2^10375430688 is an apocalyptic number.

10375430688 is a gapful number since it is divisible by the number (18) 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 10375430688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17441555040).

10375430688 is an abundant number, since it is smaller than the sum of its proper divisors (24507679392).

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

10375430688 is a wasteful number, since it uses less digits than its factorization.

10375430688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177519 (or 177508 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

Adding to 10375430688 its reverse (88603457301), we get a palindrome (98978887989).

The spelling of 10375430688 in words is "ten billion, three hundred seventy-five million, four hundred thirty thousand, six hundred eighty-eight".