10521020664 has 480 divisors, whose sum is σ = 38352837600. Its totient is φ = 2634508800.

The previous prime is 10521020611. The next prime is 10521020677. The reversal of 10521020664 is 46602012501.

It is a super-2 number, since 2×10521020664² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15916494 + ... + 15917154.

It is an arithmetic number, because the mean of its divisors is an integer number (79901745).

Almost surely, 2^10521020664 is an apocalyptic number.

10521020664 is a gapful number since it is divisible by the number (14) 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 10521020664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19176418800).

10521020664 is an abundant number, since it is smaller than the sum of its proper divisors (27831816936).

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

10521020664 is a wasteful number, since it uses less digits than its factorization.

10521020664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10521020664 in words is "ten billion, five hundred twenty-one million, twenty thousand, six hundred sixty-four".