10721248560 has 960 divisors, whose sum is σ = 45597081600. Its totient is φ = 2299207680.

The previous prime is 10721248529. The next prime is 10721248567. The reversal of 10721248560 is 6584212701.

10721248560 is a `hidden beast` number, since 1 + 0 + 72 + 1 + 24 + 8 + 560 = 666.

It is a super-2 number, since 2×10721248560² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10721248567) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84419217 + ... + 84419343.

It is an arithmetic number, because the mean of its divisors is an integer number (47496960).

Almost surely, 2^10721248560 is an apocalyptic number.

10721248560 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 10721248560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22798540800).

10721248560 is an abundant number, since it is smaller than the sum of its proper divisors (34875833040).

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

10721248560 is a wasteful number, since it uses less digits than its factorization.

10721248560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10721248560 in words is "ten billion, seven hundred twenty-one million, two hundred forty-eight thousand, five hundred sixty".