10520219520 has 512 divisors, whose sum is σ = 39481344000. Its totient is φ = 2643148800.

The previous prime is 10520219503. The next prime is 10520219543. The reversal of 10520219520 is 2591202501.

10520219520 is a `hidden beast` number, since 10 + 520 + 21 + 95 + 20 = 666.

It is a super-2 number, since 2×10520219520² (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 63 ways as a sum of consecutive naturals, for example, 21962641 + ... + 21963119.

It is an arithmetic number, because the mean of its divisors is an integer number (77112000).

Almost surely, 2^10520219520 is an apocalyptic number.

10520219520 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 10520219520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19740672000).

10520219520 is an abundant number, since it is smaller than the sum of its proper divisors (28961124480).

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

10520219520 is a wasteful number, since it uses less digits than its factorization.

10520219520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 10520219520 in words is "ten billion, five hundred twenty million, two hundred nineteen thousand, five hundred twenty".