10013860800 has 126 divisors (see below), whose sum is σ = 35591676848. Its totient is φ = 2670359040.

The previous prime is 10013860793. The next prime is 10013860807. The reversal of 10013860800 is 806831001.

10013860800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10013860793) and next prime (10013860807).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013860807) 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 17 ways as a sum of consecutive naturals, for example, 333304 + ... + 362103.

Almost surely, 2^10013860800 is an apocalyptic number.

10013860800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013860800 is an abundant number, since it is smaller than the sum of its proper divisors (25577816048).

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

10013860800 is a wasteful number, since it uses less digits than its factorization.

10013860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695435 (or 695417 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 10013860800 in words is "ten billion, thirteen million, eight hundred sixty thousand, eight hundred".