10115091043200 has 3840 divisors, whose sum is σ = 47205128678400. Its totient is φ = 2096160768000.

The previous prime is 10115091043133. The next prime is 10115091043217. The reversal of 10115091043200 is 234019051101.

It is a happy number.

10115091043200 is a `hidden beast` number, since 10 + 11 + 509 + 104 + 32 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 479 ways as a sum of consecutive naturals, for example, 37325059065 + ... + 37325059335.

It is an arithmetic number, because the mean of its divisors is an integer number (12293002260).

Almost surely, 2^{10115091043200} is an apocalyptic number.

10115091043200 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 10115091043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23602564339200).

10115091043200 is an abundant number, since it is smaller than the sum of its proper divisors (37090037635200).

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

10115091043200 is a wasteful number, since it uses less digits than its factorization.

10115091043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 10115091043200 in words is "ten trillion, one hundred fifteen billion, ninety-one million, forty-three thousand, two hundred".