10868407243200 has 840 divisors, whose sum is σ = 43154763769040. Its totient is φ = 2667080908800.

The previous prime is 10868407243139. The next prime is 10868407243229. The reversal of 10868407243200 is 234270486801.

It is a happy number.

10868407243200 is a `hidden beast` number, since 10 + 8 + 6 + 8 + 407 + 24 + 3 + 200 = 666.

10868407243200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 557659056 + ... + 557678544.

Almost surely, 2^{10868407243200} is an apocalyptic number.

10868407243200 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 10868407243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21577381884520).

10868407243200 is an abundant number, since it is smaller than the sum of its proper divisors (32286356525840).

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

10868407243200 is a wasteful number, since it uses less digits than its factorization.

10868407243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19867 (or 19843 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 10868407243200 in words is "ten trillion, eight hundred sixty-eight billion, four hundred seven million, two hundred forty-three thousand, two hundred".