11280885624 has 192 divisors, whose sum is σ = 33116428800. Its totient is φ = 3458450688.

The previous prime is 11280885593. The next prime is 11280885631. The reversal of 11280885624 is 42658808211.

11280885624 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 0 + 88 + 562 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11280885624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22426957 + ... + 22427459.

It is an arithmetic number, because the mean of its divisors is an integer number (172481400).

Almost surely, 2^11280885624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11280885624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16558214400).

11280885624 is an abundant number, since it is smaller than the sum of its proper divisors (21835543176).

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

11280885624 is a wasteful number, since it uses less digits than its factorization.

11280885624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 11280885624 in words is "eleven billion, two hundred eighty million, eight hundred eighty-five thousand, six hundred twenty-four".