10352552420 has 144 divisors (see below), whose sum is σ = 26693674560. Its totient is φ = 3353446656.

The previous prime is 10352552411. The next prime is 10352552423. The reversal of 10352552420 is 2425525301.

10352552420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10352552423) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11413607 + ... + 11414513.

It is an arithmetic number, because the mean of its divisors is an integer number (185372740).

Almost surely, 2^10352552420 is an apocalyptic number.

10352552420 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 10352552420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13346837280).

10352552420 is an abundant number, since it is smaller than the sum of its proper divisors (16341122140).

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

10352552420 is a wasteful number, since it uses less digits than its factorization.

10352552420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The spelling of 10352552420 in words is "ten billion, three hundred fifty-two million, five hundred fifty-two thousand, four hundred twenty".