10520214464 has 56 divisors (see below), whose sum is σ = 21614495760. Its totient is φ = 5074356224.

The previous prime is 10520214457. The next prime is 10520214479. The reversal of 10520214464 is 46441202501.

10520214464 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 2×10520214464² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

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 7 ways as a sum of consecutive naturals, for example, 3549047 + ... + 3552009.

Almost surely, 2^10520214464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10520214464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10807247880).

10520214464 is an abundant number, since it is smaller than the sum of its proper divisors (11094281296).

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

10520214464 is a wasteful number, since it uses less digits than its factorization.

10520214464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4917 (or 4907 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 10520214464 its reverse (46441202501), we get a palindrome (56961416965).

The spelling of 10520214464 in words is "ten billion, five hundred twenty million, two hundred fourteen thousand, four hundred sixty-four".