11007534720 has 384 divisors, whose sum is σ = 43356136320. Its totient is φ = 2313216000.

The previous prime is 11007534719. The next prime is 11007534739. The reversal of 11007534720 is 2743570011.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11007534720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43854595 + ... + 43854845.

It is an arithmetic number, because the mean of its divisors is an integer number (112906605).

Almost surely, 2^11007534720 is an apocalyptic number.

11007534720 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 11007534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21678068160).

11007534720 is an abundant number, since it is smaller than the sum of its proper divisors (32348601600).

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

11007534720 is an equidigital number, since it uses as much as digits as its factorization.

11007534720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The spelling of 11007534720 in words is "eleven billion, seven million, five hundred thirty-four thousand, seven hundred twenty".