10721788560 has 800 divisors, whose sum is σ = 45631365120. Its totient is φ = 2280047616.

The previous prime is 10721788507. The next prime is 10721788589. The reversal of 10721788560 is 6588712701.

It is a happy number.

10721788560 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 1 + 7 + 88 + 560 = 666.

It is a super-2 number, since 2×10721788560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44860921 + ... + 44861159.

Almost surely, 2^10721788560 is an apocalyptic number.

10721788560 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 10721788560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22815682560).

10721788560 is an abundant number, since it is smaller than the sum of its proper divisors (34909576560).

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

10721788560 is a wasteful number, since it uses less digits than its factorization.

10721788560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 10721788560 in words is "ten billion, seven hundred twenty-one million, seven hundred eighty-eight thousand, five hundred sixty".