10350953472 has 264 divisors, whose sum is σ = 29862946080. Its totient is φ = 3186360320.

The previous prime is 10350953471. The next prime is 10350953479. The reversal of 10350953472 is 27435905301.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10350953472.

It is not an unprimeable number, because it can be changed into a prime (10350953471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79014847 + ... + 79014977.

It is an arithmetic number, because the mean of its divisors is an integer number (113117220).

Almost surely, 2^10350953472 is an apocalyptic number.

10350953472 is a gapful number since it is divisible by the number (12) 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 10350953472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14931473040).

10350953472 is an abundant number, since it is smaller than the sum of its proper divisors (19511992608).

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

10350953472 is a wasteful number, since it uses less digits than its factorization.

10350953472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The spelling of 10350953472 in words is "ten billion, three hundred fifty million, nine hundred fifty-three thousand, four hundred seventy-two".