10242355523200 has 96 divisors (see below), whose sum is σ = 25302873018060. Its totient is φ = 4096771522560.

The previous prime is 10242355523161. The next prime is 10242355523219. The reversal of 10242355523200 is 232555324201.

10242355523200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 9705816853056 + 536538670144 = 3115416^2 + 732488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100406622 + ... + 100508578.

Almost surely, 2^{10242355523200} is an apocalyptic number.

10242355523200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10242355523200 is an abundant number, since it is smaller than the sum of its proper divisors (15060517494860).

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

10242355523200 is a wasteful number, since it uses less digits than its factorization.

10242355523200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133374 (or 133357 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The spelling of 10242355523200 in words is "ten trillion, two hundred forty-two billion, three hundred fifty-five million, five hundred twenty-three thousand, two hundred".