11385493504 has 384 divisors, whose sum is σ = 31248322560. Its totient is φ = 4010803200.

The previous prime is 11385493459. The next prime is 11385493523. The reversal of 11385493504 is 40539458311.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 83105724 + ... + 83105860.

It is an arithmetic number, because the mean of its divisors is an integer number (81375840).

Almost surely, 2^11385493504 is an apocalyptic number.

11385493504 is a gapful number since it is divisible by the number (14) 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 11385493504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624161280).

11385493504 is an abundant number, since it is smaller than the sum of its proper divisors (19862829056).

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

11385493504 is a wasteful number, since it uses less digits than its factorization.

11385493504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 11385493504 in words is "eleven billion, three hundred eighty-five million, four hundred ninety-three thousand, five hundred four".