10115000002400 has 72 divisors (see below), whose sum is σ = 25766863096464. Its totient is φ = 3870086950400.

The previous prime is 10115000002361. The next prime is 10115000002409. The reversal of 10115000002400 is 420000051101.

10115000002400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10115000002409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 274845731 + ... + 274882530.

It is an arithmetic number, because the mean of its divisors is an integer number (357873098562).

Almost surely, 2^{10115000002400} is an apocalyptic number.

10115000002400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10115000002400 is an abundant number, since it is smaller than the sum of its proper divisors (15651863094064).

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

10115000002400 is a wasteful number, since it uses less digits than its factorization.

10115000002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549728304 (or 549728291 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

Adding to 10115000002400 its reverse (420000051101), we get a palindrome (10535000053501).

The spelling of 10115000002400 in words is "ten trillion, one hundred fifteen billion, two thousand, four hundred".