11057580000 has 240 divisors, whose sum is σ = 40303161360. Its totient is φ = 2948544000.

The previous prime is 11057579987. The next prime is 11057580007. The reversal of 11057580000 is 8575011.

11057580000 is a `hidden beast` number, since 1 + 10 + 575 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11057580007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 529762 + ... + 550238.

It is an arithmetic number, because the mean of its divisors is an integer number (167929839).

Almost surely, 2^11057580000 is an apocalyptic number.

11057580000 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 11057580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20151580680).

11057580000 is an abundant number, since it is smaller than the sum of its proper divisors (29245581360).

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

11057580000 is an equidigital number, since it uses as much as digits as its factorization.

11057580000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20516 (or 20487 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The spelling of 11057580000 in words is "eleven billion, fifty-seven million, five hundred eighty thousand".