11324574122400 has 864 divisors, whose sum is σ = 51975436484160. Its totient is φ = 2353155840000.

The previous prime is 11324574122359. The next prime is 11324574122419. The reversal of 11324574122400 is 422147542311.

11324574122400 is a `hidden beast` number, since 1 + 1 + 3 + 24 + 574 + 1 + 22 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 143 ways as a sum of consecutive naturals, for example, 11156050 + ... + 12128750.

It is an arithmetic number, because the mean of its divisors is an integer number (60156755190).

Almost surely, 2^{11324574122400} is an apocalyptic number.

11324574122400 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 11324574122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25987718242080).

11324574122400 is an abundant number, since it is smaller than the sum of its proper divisors (40650862361760).

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

11324574122400 is a wasteful number, since it uses less digits than its factorization.

11324574122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972755 (or 972729 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 11324574122400 in words is "eleven trillion, three hundred twenty-four billion, five hundred seventy-four million, one hundred twenty-two thousand, four hundred".