10460796960 has 192 divisors, whose sum is σ = 33453084672. Its totient is φ = 2747437056.

The previous prime is 10460796923. The next prime is 10460796961. The reversal of 10460796960 is 6969706401.

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

It is not an unprimeable number, because it can be changed into a prime (10460796961) 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 31 ways as a sum of consecutive naturals, for example, 9570174 + ... + 9571266.

It is an arithmetic number, because the mean of its divisors is an integer number (174234816).

Almost surely, 2^10460796960 is an apocalyptic number.

10460796960 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 10460796960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16726542336).

10460796960 is an abundant number, since it is smaller than the sum of its proper divisors (22992287712).

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

10460796960 is a wasteful number, since it uses less digits than its factorization.

10460796960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 10460796960 in words is "ten billion, four hundred sixty million, seven hundred ninety-six thousand, nine hundred sixty".