10481814280960 has 144 divisors (see below), whose sum is σ = 28831259036160. Its totient is φ = 3610959851520.

The previous prime is 10481814280937. The next prime is 10481814281021. The reversal of 10481814280960 is 6908241818401.

It is a junction number, because it is equal to n+sod(n) for n = 10481814280898 and 10481814280907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19323192 + ... + 19858231.

It is an arithmetic number, because the mean of its divisors is an integer number (200217076640).

Almost surely, 2^{10481814280960} is an apocalyptic number.

10481814280960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10481814280960 is an abundant number, since it is smaller than the sum of its proper divisors (18349444755200).

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

10481814280960 is a wasteful number, since it uses less digits than its factorization.

10481814280960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39181474 (or 39181460 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 52.

The spelling of 10481814280960 in words is "ten trillion, four hundred eighty-one billion, eight hundred fourteen million, two hundred eighty thousand, nine hundred sixty".