10552035093600 has 1728 divisors, whose sum is σ = 47603638172160. Its totient is φ = 1974398976000.

The previous prime is 10552035093563. The next prime is 10552035093601. The reversal of 10552035093600 is 639053025501.

It is a super-2 number, since 2×10552035093600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10552035093601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1083477531 + ... + 1083487269.

It is an arithmetic number, because the mean of its divisors is an integer number (27548401720).

Almost surely, 2^{10552035093600} is an apocalyptic number.

10552035093600 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 10552035093600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23801819086080).

10552035093600 is an abundant number, since it is smaller than the sum of its proper divisors (37051603078560).

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

10552035093600 is a wasteful number, since it uses less digits than its factorization.

10552035093600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9845 (or 9821 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 39.

The spelling of 10552035093600 in words is "ten trillion, five hundred fifty-two billion, thirty-five million, ninety-three thousand, six hundred".