11211563880 has 192 divisors, whose sum is σ = 40824950400. Its totient is φ = 2644462080.

The previous prime is 11211563863. The next prime is 11211563893. The reversal of 11211563880 is 8836511211.

11211563880 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 15 + 638 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 108261 + ... + 184779.

It is an arithmetic number, because the mean of its divisors is an integer number (212629950).

Almost surely, 2^11211563880 is an apocalyptic number.

11211563880 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 11211563880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20412475200).

11211563880 is an abundant number, since it is smaller than the sum of its proper divisors (29613386520).

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

11211563880 is a wasteful number, since it uses less digits than its factorization.

11211563880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76584 (or 76577 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

It can be divided in two parts, 1121 and 1563880, that added together give a square (1565001 = 1251²).

The spelling of 11211563880 in words is "eleven billion, two hundred eleven million, five hundred sixty-three thousand, eight hundred eighty".