11057472000 has 640 divisors, whose sum is σ = 41875891200. Its totient is φ = 2911334400.

The previous prime is 11057471983. The next prime is 11057472001. The reversal of 11057472000 is 27475011.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11057472001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 139967961 + ... + 139968039.

It is an arithmetic number, because the mean of its divisors is an integer number (65431080).

Almost surely, 2^11057472000 is an apocalyptic number.

11057472000 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 11057472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20937945600).

11057472000 is an abundant number, since it is smaller than the sum of its proper divisors (30818419200).

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

11057472000 is an frugal number, since it uses more digits than its factorization.

11057472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The spelling of 11057472000 in words is "eleven billion, fifty-seven million, four hundred seventy-two thousand".