10263298752 has 560 divisors, whose sum is σ = 37388279808. Its totient is φ = 2717245440.

The previous prime is 10263298751. The next prime is 10263298753. The reversal of 10263298752 is 25789236201.

10263298752 is a `hidden beast` number, since 1 + 0 + 2 + 632 + 9 + 8 + 7 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10263298751) and next prime (10263298753).

It is a junction number, because it is equal to n+sod(n) for n = 10263298698 and 10263298707.

It is not an unprimeable number, because it can be changed into a prime (10263298751) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78345727 + ... + 78345857.

Almost surely, 2^10263298752 is an apocalyptic number.

10263298752 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 10263298752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18694139904).

10263298752 is an abundant number, since it is smaller than the sum of its proper divisors (27124981056).

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

10263298752 is a wasteful number, since it uses less digits than its factorization.

10263298752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10263298752 in words is "ten billion, two hundred sixty-three million, two hundred ninety-eight thousand, seven hundred fifty-two".