11455067536400 has 240 divisors, whose sum is σ = 28604736679680. Its totient is φ = 4405210828800.

The previous prime is 11455067536357. The next prime is 11455067536417. The reversal of 11455067536400 is 463576055411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (47).

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, 927755027 + ... + 927767373.

It is an arithmetic number, because the mean of its divisors is an integer number (119186402832).

Almost surely, 2^{11455067536400} is an apocalyptic number.

11455067536400 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 11455067536400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14302368339840).

11455067536400 is an abundant number, since it is smaller than the sum of its proper divisors (17149669143280).

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

11455067536400 is a wasteful number, since it uses less digits than its factorization.

11455067536400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13282 (or 13271 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 47.

The spelling of 11455067536400 in words is "eleven trillion, four hundred fifty-five billion, sixty-seven million, five hundred thirty-six thousand, four hundred".