11324966400 has 720 divisors, whose sum is σ = 45989431488. Its totient is φ = 2737152000.

The previous prime is 11324966377. The next prime is 11324966417. The reversal of 11324966400 is 466942311.

11324966400 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 4 + 9 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×11324966400² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34214235 + ... + 34214565.

Almost surely, 2^11324966400 is an apocalyptic number.

11324966400 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 11324966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22994715744).

11324966400 is an abundant number, since it is smaller than the sum of its proper divisors (34664465088).

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

11324966400 is an equidigital number, since it uses as much as digits as its factorization.

11324966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 11324966400 in words is "eleven billion, three hundred twenty-four million, nine hundred sixty-six thousand, four hundred".