11385600000 has 288 divisors, whose sum is σ = 38004286320. Its totient is φ = 3031040000.

The previous prime is 11385599963. The next prime is 11385600049. The reversal of 11385600000 is 658311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19199704 + ... + 19200296.

Almost surely, 2^11385600000 is an apocalyptic number.

11385600000 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 11385600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19002143160).

11385600000 is an abundant number, since it is smaller than the sum of its proper divisors (26618686320).

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

11385600000 is an frugal number, since it uses more digits than its factorization.

11385600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 11385600000 in words is "eleven billion, three hundred eighty-five million, six hundred thousand".