11476552683440 has 360 divisors, whose sum is σ = 30975735930480. Its totient is φ = 3951495954432.

The previous prime is 11476552683377. The next prime is 11476552683451. The reversal of 11476552683440 is 4438625567411.

It is a super-2 number, since 2×11476552683440² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 425880047 + ... + 425906993.

It is an arithmetic number, because the mean of its divisors is an integer number (86043710918).

Almost surely, 2^{11476552683440} is an apocalyptic number.

11476552683440 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 11476552683440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15487867965240).

11476552683440 is an abundant number, since it is smaller than the sum of its proper divisors (19499183247040).

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

11476552683440 is a wasteful number, since it uses less digits than its factorization.

11476552683440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27129 (or 27093 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 56.

The spelling of 11476552683440 in words is "eleven trillion, four hundred seventy-six billion, five hundred fifty-two million, six hundred eighty-three thousand, four hundred forty".