10246141267200 has 1296 divisors, whose sum is σ = 38958701483520. Its totient is φ = 2663467868160.

The previous prime is 10246141267169. The next prime is 10246141267207. The reversal of 10246141267200 is 276214164201.

10246141267200 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 614 + 12 + 6 + 7 + 20 + 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10246141267207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11149228341 + ... + 11149229259.

Almost surely, 2^{10246141267200} is an apocalyptic number.

10246141267200 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 10246141267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19479350741760).

10246141267200 is an abundant number, since it is smaller than the sum of its proper divisors (28712560216320).

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

10246141267200 is an equidigital number, since it uses as much as digits as its factorization.

10246141267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10246141267200 in words is "ten trillion, two hundred forty-six billion, one hundred forty-one million, two hundred sixty-seven thousand, two hundred".