11364278400 has 384 divisors, whose sum is σ = 42026774400. Its totient is φ = 2998702080.

The previous prime is 11364278377. The next prime is 11364278413. The reversal of 11364278400 is 487246311.

11364278400 is a `hidden beast` number, since 1 + 1 + 3 + 642 + 7 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8898562 + ... + 8899838.

It is an arithmetic number, because the mean of its divisors is an integer number (109444725).

Almost surely, 2^11364278400 is an apocalyptic number.

11364278400 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 11364278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21013387200).

11364278400 is an abundant number, since it is smaller than the sum of its proper divisors (30662496000).

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

11364278400 is a wasteful number, since it uses less digits than its factorization.

11364278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 11364278400 in words is "eleven billion, three hundred sixty-four million, two hundred seventy-eight thousand, four hundred".