11051136720 has 640 divisors, whose sum is σ = 43572211200. Its totient is φ = 2554675200.

The previous prime is 11051136709. The next prime is 11051136779. The reversal of 11051136720 is 2763115011.

11051136720 is a `hidden beast` number, since 110 + 511 + 36 + 7 + 2 + 0 = 666.

11051136720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33386955 + ... + 33387285.

It is an arithmetic number, because the mean of its divisors is an integer number (68081580).

Almost surely, 2^11051136720 is an apocalyptic number.

11051136720 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 11051136720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21786105600).

11051136720 is an abundant number, since it is smaller than the sum of its proper divisors (32521074480).

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

11051136720 is a wasteful number, since it uses less digits than its factorization.

11051136720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 11051136720 in words is "eleven billion, fifty-one million, one hundred thirty-six thousand, seven hundred twenty".