10521828720 has 800 divisors, whose sum is σ = 41969188800. Its totient is φ = 2424619008.

The previous prime is 10521828703. The next prime is 10521828739. The reversal of 10521828720 is 2782812501.

10521828720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10521828720² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 144134604 + ... + 144134676.

It is an arithmetic number, because the mean of its divisors is an integer number (52461486).

Almost surely, 2^10521828720 is an apocalyptic number.

10521828720 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 10521828720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20984594400).

10521828720 is an abundant number, since it is smaller than the sum of its proper divisors (31447360080).

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

10521828720 is a wasteful number, since it uses less digits than its factorization.

10521828720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 10521828720 in words is "ten billion, five hundred twenty-one million, eight hundred twenty-eight thousand, seven hundred twenty".