11057823000 has 512 divisors, whose sum is σ = 44910028800. Its totient is φ = 2464128000.

The previous prime is 11057822983. The next prime is 11057823013. The reversal of 11057823000 is 32875011.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7748287 + ... + 7749713.

It is an arithmetic number, because the mean of its divisors is an integer number (87714900).

Almost surely, 2^11057823000 is an apocalyptic number.

11057823000 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 11057823000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22455014400).

11057823000 is an abundant number, since it is smaller than the sum of its proper divisors (33852205800).

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

11057823000 is a wasteful number, since it uses less digits than its factorization.

11057823000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 11057823000 in words is "eleven billion, fifty-seven million, eight hundred twenty-three thousand".