10520201664 has 336 divisors, whose sum is σ = 37673865216. Its totient is φ = 2737152000.

The previous prime is 10520201651. The next prime is 10520201669. The reversal of 10520201664 is 46610202501.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×10520201664² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10520201669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2122389 + ... + 2127339.

Almost surely, 2^10520201664 is an apocalyptic number.

10520201664 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 10520201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18836932608).

10520201664 is an abundant number, since it is smaller than the sum of its proper divisors (27153663552).

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

10520201664 is a wasteful number, since it uses less digits than its factorization.

10520201664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024 (or 5011 counting only the distinct ones).

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

The spelling of 10520201664 in words is "ten billion, five hundred twenty million, two hundred one thousand, six hundred sixty-four".