11197094400 has 480 divisors, whose sum is σ = 41556715200. Its totient is φ = 2952806400.

The previous prime is 11197094371. The next prime is 11197094407. The reversal of 11197094400 is 449079111.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×11197094400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11197094407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61862310 + ... + 61862490.

It is an arithmetic number, because the mean of its divisors is an integer number (86576490).

Almost surely, 2^11197094400 is an apocalyptic number.

11197094400 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 11197094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20778357600).

11197094400 is an abundant number, since it is smaller than the sum of its proper divisors (30359620800).

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

11197094400 is a wasteful number, since it uses less digits than its factorization.

11197094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 11197094400 in words is "eleven billion, one hundred ninety-seven million, ninety-four thousand, four hundred".