11000260992 has 128 divisors (see below), whose sum is σ = 35358128640. Its totient is φ = 2958041088.

The previous prime is 11000260949. The next prime is 11000260993. The reversal of 11000260992 is 29906200011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000260993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74668 + ... + 166059.

It is an arithmetic number, because the mean of its divisors is an integer number (276235380).

Almost surely, 2^11000260992 is an apocalyptic number.

11000260992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11000260992 is an abundant number, since it is smaller than the sum of its proper divisors (24357867648).

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

11000260992 is a wasteful number, since it uses less digits than its factorization.

11000260992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240768 (or 240756 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 11000260992 in words is "eleven billion, two hundred sixty thousand, nine hundred ninety-two".