11262782880 has 144 divisors (see below), whose sum is σ = 40695173064. Its totient is φ = 2826731520.

The previous prime is 11262782873. The next prime is 11262782941. The reversal of 11262782880 is 8828726211.

It is a happy number.

11262782880 is a `hidden beast` number, since 1 + 12 + 627 + 8 + 2 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9071419536 + 2191363344 = 95244^2 + 46812^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 205561 + ... + 254520.

Almost surely, 2^11262782880 is an apocalyptic number.

11262782880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11262782880 is an abundant number, since it is smaller than the sum of its proper divisors (29432390184).

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

11262782880 is a wasteful number, since it uses less digits than its factorization.

11262782880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460119 (or 460108 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 11262782880 in words is "eleven billion, two hundred sixty-two million, seven hundred eighty-two thousand, eight hundred eighty".