10762048560 has 320 divisors, whose sum is σ = 36334852992. Its totient is φ = 2624913408.

The previous prime is 10762048511. The next prime is 10762048589. The reversal of 10762048560 is 6584026701.

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, 33949522 + ... + 33949838.

Almost surely, 2^10762048560 is an apocalyptic number.

10762048560 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 10762048560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18167426496).

10762048560 is an abundant number, since it is smaller than the sum of its proper divisors (25572804432).

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

10762048560 is a wasteful number, since it uses less digits than its factorization.

10762048560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 10762048560 in words is "ten billion, seven hundred sixty-two million, forty-eight thousand, five hundred sixty".