11745518400 has 1260 divisors, whose sum is σ = 54741433824. Its totient is φ = 2417817600.

The previous prime is 11745518371. The next prime is 11745518453. The reversal of 11745518400 is 481554711.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 109771147 + ... + 109771253.

Almost surely, 2^11745518400 is an apocalyptic number.

11745518400 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 11745518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27370716912).

11745518400 is an abundant number, since it is smaller than the sum of its proper divisors (42995915424).

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

11745518400 is a wasteful number, since it uses less digits than its factorization.

11745518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 11745518400 in words is "eleven billion, seven hundred forty-five million, five hundred eighteen thousand, four hundred".