11061388800 has 1440 divisors, whose sum is σ = 52242727680. Its totient is φ = 2167603200.

The previous prime is 11061388799. The next prime is 11061388817. The reversal of 11061388800 is 888316011.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 257241579 + ... + 257241621.

It is an arithmetic number, because the mean of its divisors is an integer number (36279672).

Almost surely, 2^11061388800 is an apocalyptic number.

11061388800 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 11061388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26121363840).

11061388800 is an abundant number, since it is smaller than the sum of its proper divisors (41181338880).

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

11061388800 is a wasteful number, since it uses less digits than its factorization.

11061388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 11061388800 in words is "eleven billion, sixty-one million, three hundred eighty-eight thousand, eight hundred".