10466910720 has 400 divisors, whose sum is σ = 42850703808. Its totient is φ = 2392104960.

The previous prime is 10466910689. The next prime is 10466910737. The reversal of 10466910720 is 2701966401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1447915 + ... + 1455125.

Almost surely, 2^10466910720 is an apocalyptic number.

10466910720 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 10466910720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21425351904).

10466910720 is an abundant number, since it is smaller than the sum of its proper divisors (32383793088).

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

10466910720 is an frugal number, since it uses more digits than its factorization.

10466910720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7253 (or 7228 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10466910720 in words is "ten billion, four hundred sixty-six million, nine hundred ten thousand, seven hundred twenty".