11479086528000 has 1920 divisors, whose sum is σ = 50632809042816. Its totient is φ = 2279079936000.

The previous prime is 11479086527981. The next prime is 11479086528031. The reversal of 11479086528000 is 82568097411.

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

It is a super-2 number, since 2×11479086528000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2079165240 + ... + 2079170760.

Almost surely, 2^{11479086528000} is an apocalyptic number.

11479086528000 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 11479086528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25316404521408).

11479086528000 is an abundant number, since it is smaller than the sum of its proper divisors (39153722514816).

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

11479086528000 is a wasteful number, since it uses less digits than its factorization.

11479086528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5601 (or 5568 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 11479086528000 in words is "eleven trillion, four hundred seventy-nine billion, eighty-six million, five hundred twenty-eight thousand".