10206413522520 has 256 divisors, whose sum is σ = 33764256000000. Its totient is φ = 2458035320832.

The previous prime is 10206413522507. The next prime is 10206413522537. The reversal of 10206413522520 is 2522531460201.

It is a happy number.

It is a super-2 number, since 2×10206413522520² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4246506 + ... + 6200454.

It is an arithmetic number, because the mean of its divisors is an integer number (131891625000).

Almost surely, 2^{10206413522520} is an apocalyptic number.

10206413522520 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 10206413522520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16882128000000).

10206413522520 is an abundant number, since it is smaller than the sum of its proper divisors (23557842477480).

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

10206413522520 is a wasteful number, since it uses less digits than its factorization.

10206413522520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954090 (or 1954086 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 10206413522520 its reverse (2522531460201), we get a palindrome (12728944982721).

The spelling of 10206413522520 in words is "ten trillion, two hundred six billion, four hundred thirteen million, five hundred twenty-two thousand, five hundred twenty".