11006516400 has 480 divisors, whose sum is σ = 39881161728. Its totient is φ = 2571878400.

The previous prime is 11006516399. The next prime is 11006516401. The reversal of 11006516400 is 461560011.

It is an interprime number because it is at equal distance from previous prime (11006516399) and next prime (11006516401).

It is a super-2 number, since 2×11006516400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11006516401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 70105122 + ... + 70105278.

Almost surely, 2^11006516400 is an apocalyptic number.

11006516400 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 11006516400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19940580864).

11006516400 is an abundant number, since it is smaller than the sum of its proper divisors (28874645328).

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

11006516400 is a wasteful number, since it uses less digits than its factorization.

11006516400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 11006516400 in words is "eleven billion, six million, five hundred sixteen thousand, four hundred".