10721521000 has 64 divisors (see below), whose sum is σ = 25115322960. Its totient is φ = 4284000000.

The previous prime is 10721520989. The next prime is 10721521007. The reversal of 10721521000 is 12512701.

It can be written as a sum of positive squares in 8 ways, for example, as 141752836 + 10579768164 = 11906^2 + 102858^2 .

It is a super-2 number, since 2×10721521000² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10721521007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1015750 + ... + 1026250.

Almost surely, 2^10721521000 is an apocalyptic number.

10721521000 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 10721521000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12557661480).

10721521000 is an abundant number, since it is smaller than the sum of its proper divisors (14393801960).

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

10721521000 is a wasteful number, since it uses less digits than its factorization.

10721521000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11543 (or 11529 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The spelling of 10721521000 in words is "ten billion, seven hundred twenty-one million, five hundred twenty-one thousand".