11265716390400 has 1920 divisors, whose sum is σ = 44936052480000. Its totient is φ = 2790043729920.

The previous prime is 11265716390389. The next prime is 11265716390407. The reversal of 11265716390400 is 409361756211.

11265716390400 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 5 + 7 + 1 + 639 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11265716390407) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 31380825421 + ... + 31380825779.

It is an arithmetic number, because the mean of its divisors is an integer number (23404194000).

Almost surely, 2^{11265716390400} is an apocalyptic number.

11265716390400 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 11265716390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22468026240000).

11265716390400 is an abundant number, since it is smaller than the sum of its proper divisors (33670336089600).

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

11265716390400 is an frugal number, since it uses more digits than its factorization.

11265716390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 11265716390400 in words is "eleven trillion, two hundred sixty-five billion, seven hundred sixteen million, three hundred ninety thousand, four hundred".