10481304960 has 512 divisors, whose sum is σ = 43041715200. Its totient is φ = 2360918016.

The previous prime is 10481304917. The next prime is 10481304973. The reversal of 10481304960 is 6940318401.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8829487 + ... + 8830673.

It is an arithmetic number, because the mean of its divisors is an integer number (84065850).

Almost surely, 2^10481304960 is an apocalyptic number.

10481304960 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 10481304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21520857600).

10481304960 is an abundant number, since it is smaller than the sum of its proper divisors (32560410240).

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

10481304960 is a wasteful number, since it uses less digits than its factorization.

10481304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10481304960 in words is "ten billion, four hundred eighty-one million, three hundred four thousand, nine hundred sixty".