11210814720 has 864 divisors, whose sum is σ = 48569364480. Its totient is φ = 2418647040.

The previous prime is 11210814707. The next prime is 11210814737. The reversal of 11210814720 is 2741801211.

11210814720 is a `hidden beast` number, since 112 + 1 + 0 + 81 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41368185 + ... + 41368455.

Almost surely, 2^11210814720 is an apocalyptic number.

11210814720 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 11210814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24284682240).

11210814720 is an abundant number, since it is smaller than the sum of its proper divisors (37358549760).

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

11210814720 is an equidigital number, since it uses as much as digits as its factorization.

11210814720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 11210814720 in words is "eleven billion, two hundred ten million, eight hundred fourteen thousand, seven hundred twenty".