10335797472 has 384 divisors, whose sum is σ = 37066014720. Its totient is φ = 2434775040.

The previous prime is 10335797471. The next prime is 10335797473. The reversal of 10335797472 is 27479753301.

It is an interprime number because it is at equal distance from previous prime (10335797471) and next prime (10335797473).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10335797471) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5668753 + ... + 5670575.

It is an arithmetic number, because the mean of its divisors is an integer number (96526080).

Almost surely, 2^10335797472 is an apocalyptic number.

10335797472 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 10335797472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18533007360).

10335797472 is an abundant number, since it is smaller than the sum of its proper divisors (26730217248).

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

10335797472 is a wasteful number, since it uses less digits than its factorization.

10335797472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 48.

The spelling of 10335797472 in words is "ten billion, three hundred thirty-five million, seven hundred ninety-seven thousand, four hundred seventy-two".