10849102387200 has 3888 divisors, whose sum is σ = 52468646401080. Its totient is φ = 2135708467200.

The previous prime is 10849102387159. The next prime is 10849102387217. The reversal of 10849102387200 is 278320194801.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10849102387200 is a `hidden beast` number, since 10 + 8 + 49 + 10 + 2 + 387 + 200 = 666.

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 323 ways as a sum of consecutive naturals, for example, 571005388791 + ... + 571005388809.

Almost surely, 2^{10849102387200} is an apocalyptic number.

10849102387200 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 10849102387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26234323200540).

10849102387200 is an abundant number, since it is smaller than the sum of its proper divisors (41619544013880).

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

10849102387200 is a wasteful number, since it uses less digits than its factorization.

10849102387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10849102387200 in words is "ten trillion, eight hundred forty-nine billion, one hundred two million, three hundred eighty-seven thousand, two hundred".