11476285286400 has 720 divisors, whose sum is σ = 46370055251520. Its totient is φ = 2782118707200.

The previous prime is 11476285286341. The next prime is 11476285286419. The reversal of 11476285286400 is 468258267411.

11476285286400 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 628 + 5 + 2 + 8 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×11476285286400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 45493417 + ... + 45744983.

It is an arithmetic number, because the mean of its divisors is an integer number (64402854516).

Almost surely, 2^{11476285286400} is an apocalyptic number.

11476285286400 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 11476285286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23185027625760).

11476285286400 is an abundant number, since it is smaller than the sum of its proper divisors (34893769965120).

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

11476285286400 is a wasteful number, since it uses less digits than its factorization.

11476285286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251622 (or 251588 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 11476285286400 in words is "eleven trillion, four hundred seventy-six billion, two hundred eighty-five million, two hundred eighty-six thousand, four hundred".