11216470400 has 96 divisors (see below), whose sum is σ = 27954293400. Its totient is φ = 4446740480.

The previous prime is 11216470399. The next prime is 11216470423. The reversal of 11216470400 is 407461211.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11216470400.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 346091 + ... + 377109.

Almost surely, 2^11216470400 is an apocalyptic number.

11216470400 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 11216470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13977146700).

11216470400 is an abundant number, since it is smaller than the sum of its proper divisors (16737823000).

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

11216470400 is a wasteful number, since it uses less digits than its factorization.

11216470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31156 (or 31139 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The spelling of 11216470400 in words is "eleven billion, two hundred sixteen million, four hundred seventy thousand, four hundred".