11004706900 has 288 divisors, whose sum is σ = 29698099200. Its totient is φ = 3486873600.

The previous prime is 11004706897. The next prime is 11004706901. The reversal of 11004706900 is 960740011.

It is a super-2 number, since 2×11004706900² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11004706901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16698771 + ... + 16699429.

It is an arithmetic number, because the mean of its divisors is an integer number (103118400).

Almost surely, 2^11004706900 is an apocalyptic number.

11004706900 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 11004706900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14849049600).

11004706900 is an abundant number, since it is smaller than the sum of its proper divisors (18693392300).

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

11004706900 is a wasteful number, since it uses less digits than its factorization.

11004706900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 11004706900 in words is "eleven billion, four million, seven hundred six thousand, nine hundred".