10949057481600 has 2304 divisors, whose sum is σ = 48707492520960. Its totient is φ = 2285273088000.

The previous prime is 10949057481589. The next prime is 10949057481601. The reversal of 10949057481600 is 618475094901.

10949057481600 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 9 + 0 + 574 + 8 + 1 + 60 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10949057481601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17351913285 + ... + 17351913915.

It is an arithmetic number, because the mean of its divisors is an integer number (21140404740).

Almost surely, 2^{10949057481600} is an apocalyptic number.

10949057481600 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 10949057481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24353746260480).

10949057481600 is an abundant number, since it is smaller than the sum of its proper divisors (37758435039360).

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

10949057481600 is a wasteful number, since it uses less digits than its factorization.

10949057481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 10949057481600 in words is "ten trillion, nine hundred forty-nine billion, fifty-seven million, four hundred eighty-one thousand, six hundred".