10140115507200 has 1296 divisors, whose sum is σ = 43811541741240. Its totient is φ = 2317601341440.

The previous prime is 10140115507199. The next prime is 10140115507237. The reversal of 10140115507200 is 270551104101.

10140115507200 is a `hidden beast` number, since 1 + 0 + 1 + 40 + 1 + 1 + 550 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 609630084 + ... + 609646716.

Almost surely, 2^{10140115507200} is an apocalyptic number.

10140115507200 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 10140115507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21905770870620).

10140115507200 is an abundant number, since it is smaller than the sum of its proper divisors (33671426234040).

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

10140115507200 is an equidigital number, since it uses as much as digits as its factorization.

10140115507200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16694 (or 16650 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The spelling of 10140115507200 in words is "ten trillion, one hundred forty billion, one hundred fifteen million, five hundred seven thousand, two hundred".