11077012800 has 252 divisors, whose sum is σ = 44995059616. Its totient is φ = 2531865600.

The previous prime is 11077012789. The next prime is 11077012823. The reversal of 11077012800 is 821077011.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45855 + ... + 155745.

Almost surely, 2^11077012800 is an apocalyptic number.

11077012800 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 11077012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22497529808).

11077012800 is an abundant number, since it is smaller than the sum of its proper divisors (33918046816).

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

11077012800 is a wasteful number, since it uses less digits than its factorization.

11077012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109926 (or 109908 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

Adding to 11077012800 its reverse (821077011), we get a palindrome (11898089811).

The spelling of 11077012800 in words is "eleven billion, seventy-seven million, twelve thousand, eight hundred".