10721594880 has 240 divisors, whose sum is σ = 37925769024. Its totient is φ = 2797977600.

The previous prime is 10721594861. The next prime is 10721594881. The reversal of 10721594880 is 8849512701.

10721594880 is a `hidden beast` number, since 10 + 7 + 2 + 159 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10721594880² (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 not an unprimeable number, because it can be changed into a prime (10721594881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1077930 + ... + 1087830.

Almost surely, 2^10721594880 is an apocalyptic number.

10721594880 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 10721594880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18962884512).

10721594880 is an abundant number, since it is smaller than the sum of its proper divisors (27204174144).

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

10721594880 is an equidigital number, since it uses as much as digits as its factorization.

10721594880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9977 (or 9958 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 10721594880 in words is "ten billion, seven hundred twenty-one million, five hundred ninety-four thousand, eight hundred eighty".