11276138880 has 96 divisors (see below), whose sum is σ = 38937936960. Its totient is φ = 3006968832.

The previous prime is 11276138873. The next prime is 11276138893. The reversal of 11276138880 is 8883167211.

It is a happy number.

11276138880 is a `hidden beast` number, since 1 + 1 + 27 + 613 + 8 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 973072 + ... + 984591.

It is an arithmetic number, because the mean of its divisors is an integer number (405603510).

Almost surely, 2^11276138880 is an apocalyptic number.

11276138880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11276138880 is an abundant number, since it is smaller than the sum of its proper divisors (27661798080).

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

11276138880 is a wasteful number, since it uses less digits than its factorization.

11276138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957688 (or 1957673 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 11276138880 in words is "eleven billion, two hundred seventy-six million, one hundred thirty-eight thousand, eight hundred eighty".