11585472000 has 320 divisors, whose sum is σ = 39036501504. Its totient is φ = 3048038400.

The previous prime is 11585471999. The next prime is 11585472029. The reversal of 11585472000 is 27458511.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×11585472000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15935637 + ... + 15936363.

Almost surely, 2^11585472000 is an apocalyptic number.

11585472000 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 11585472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19518250752).

11585472000 is an abundant number, since it is smaller than the sum of its proper divisors (27451029504).

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

11585472000 is an frugal number, since it uses more digits than its factorization.

11585472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The spelling of 11585472000 in words is "eleven billion, five hundred eighty-five million, four hundred seventy-two thousand".