11364160592400 has 960 divisors, whose sum is σ = 48066550972416. Its totient is φ = 2224975104000.

The previous prime is 11364160592387. The next prime is 11364160592401. The reversal of 11364160592400 is 429506146311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (11364160592401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 142348495 + ... + 142428305.

Almost surely, 2^{11364160592400} is an apocalyptic number.

11364160592400 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 11364160592400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24033275486208).

11364160592400 is an abundant number, since it is smaller than the sum of its proper divisors (36702390380016).

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

11364160592400 is a wasteful number, since it uses less digits than its factorization.

11364160592400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79940 (or 79929 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 11364160592400 in words is "eleven trillion, three hundred sixty-four billion, one hundred sixty million, five hundred ninety-two thousand, four hundred".