10225523521520 has 160 divisors (see below), whose sum is σ = 24499469433600. Its totient is φ = 3966713856000.

The previous prime is 10225523521513. The next prime is 10225523521541. The reversal of 10225523521520 is 2512532552201.

10225523521520 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 2×10225523521520² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399094310 + ... + 399119930.

It is an arithmetic number, because the mean of its divisors is an integer number (153121683960).

Almost surely, 2^{10225523521520} is an apocalyptic number.

10225523521520 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 10225523521520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12249734716800).

10225523521520 is an abundant number, since it is smaller than the sum of its proper divisors (14273945912080).

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

10225523521520 is a wasteful number, since it uses less digits than its factorization.

10225523521520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26395 (or 26389 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

The spelling of 10225523521520 in words is "ten trillion, two hundred twenty-five billion, five hundred twenty-three million, five hundred twenty-one thousand, five hundred twenty".