10461603072 has 288 divisors, whose sum is σ = 31337953920. Its totient is φ = 3078881280.

The previous prime is 10461603059. The next prime is 10461603083. The reversal of 10461603072 is 27030616401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44899468 + ... + 44899700.

It is an arithmetic number, because the mean of its divisors is an integer number (108812340).

Almost surely, 2^10461603072 is an apocalyptic number.

10461603072 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 10461603072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15668976960).

10461603072 is an abundant number, since it is smaller than the sum of its proper divisors (20876350848).

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

10461603072 is a wasteful number, since it uses less digits than its factorization.

10461603072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 10461603072 in words is "ten billion, four hundred sixty-one million, six hundred three thousand, seventy-two".