10451684480 has 128 divisors (see below), whose sum is σ = 25440534000. Its totient is φ = 4105175040.

The previous prime is 10451684471. The next prime is 10451684513. The reversal of 10451684480 is 8448615401.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8336420416 + 2115264064 = 91304^2 + 45992^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16304960 + ... + 16305600.

Almost surely, 2^10451684480 is an apocalyptic number.

10451684480 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 10451684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12720267000).

10451684480 is an abundant number, since it is smaller than the sum of its proper divisors (14988849520).

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

10451684480 is an equidigital number, since it uses as much as digits as its factorization.

10451684480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The spelling of 10451684480 in words is "ten billion, four hundred fifty-one million, six hundred eighty-four thousand, four hundred eighty".