10949722560 has 560 divisors, whose sum is σ = 46071495360. Its totient is φ = 2415329280.

The previous prime is 10949722549. The next prime is 10949722561. The reversal of 10949722560 is 6522794901.

10949722560 is a `hidden beast` number, since 10 + 9 + 4 + 9 + 72 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10949722561) 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 79 ways as a sum of consecutive naturals, for example, 5260720 + ... + 5262800.

Almost surely, 2^10949722560 is an apocalyptic number.

10949722560 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 10949722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23035747680).

10949722560 is an abundant number, since it is smaller than the sum of its proper divisors (35121772800).

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

10949722560 is a wasteful number, since it uses less digits than its factorization.

10949722560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10949722560 in words is "ten billion, nine hundred forty-nine million, seven hundred twenty-two thousand, five hundred sixty".