10224480960 has 280 divisors, whose sum is σ = 36494289216. Its totient is φ = 2717245440.

The previous prime is 10224480953. The next prime is 10224480983. The reversal of 10224480960 is 6908442201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11222905 + ... + 11223815.

Almost surely, 2^10224480960 is an apocalyptic number.

10224480960 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 10224480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18247144608).

10224480960 is an abundant number, since it is smaller than the sum of its proper divisors (26269808256).

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

10224480960 is an equidigital number, since it uses as much as digits as its factorization.

10224480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10224480960 in words is "ten billion, two hundred twenty-four million, four hundred eighty thousand, nine hundred sixty".