11418205920 has 384 divisors, whose sum is σ = 40634721792. Its totient is φ = 2670796800.

The previous prime is 11418205901. The next prime is 11418205921. The reversal of 11418205920 is 2950281411.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11418205921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41220822 + ... + 41221098.

It is an arithmetic number, because the mean of its divisors is an integer number (105819588).

Almost surely, 2^11418205920 is an apocalyptic number.

11418205920 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 11418205920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20317360896).

11418205920 is an abundant number, since it is smaller than the sum of its proper divisors (29216515872).

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

11418205920 is a wasteful number, since it uses less digits than its factorization.

11418205920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 11418205920 in words is "eleven billion, four hundred eighteen million, two hundred five thousand, nine hundred twenty".