10949329800 has 72 divisors (see below), whose sum is σ = 36771505290. Its totient is φ = 2919820800.

The previous prime is 10949329793. The next prime is 10949329877. The reversal of 10949329800 is 892394901.

It can be written as a sum of positive squares in 3 ways, for example, as 7209028836 + 3740300964 = 84906^2 + 61158^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3039681 + ... + 3043280.

Almost surely, 2^10949329800 is an apocalyptic number.

10949329800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10949329800 is an abundant number, since it is smaller than the sum of its proper divisors (25822175490).

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

10949329800 is a wasteful number, since it uses less digits than its factorization.

10949329800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6082983 (or 6082971 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 10949329800 in words is "ten billion, nine hundred forty-nine million, three hundred twenty-nine thousand, eight hundred".