10949677200 has 1620 divisors, whose sum is σ = 53037282480. Its totient is φ = 2155507200.

The previous prime is 10949677171. The next prime is 10949677201. The reversal of 10949677200 is 277694901.

It is a tau number, because it is divible by the number of its divisors (1620).

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

It is not an unprimeable number, because it can be changed into a prime (10949677201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 576298791 + ... + 576298809.

Almost surely, 2^10949677200 is an apocalyptic number.

10949677200 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 10949677200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26518641240).

10949677200 is an abundant number, since it is smaller than the sum of its proper divisors (42087605280).

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

10949677200 is a wasteful number, since it uses less digits than its factorization.

10949677200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

10949677200 divided by its product of nonzero digits (190512) gives a palindrome (57475).

The spelling of 10949677200 in words is "ten billion, nine hundred forty-nine million, six hundred seventy-seven thousand, two hundred".