11478752157600 has 5184 divisors, whose sum is σ = 56949614991360. Its totient is φ = 2200968806400.

The previous prime is 11478752157583. The next prime is 11478752157647. The reversal of 11478752157600 is 675125787411.

It is a happy number.

11478752157600 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 8 + 7 + 5 + 21 + 5 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 161672565565 + ... + 161672565635.

It is an arithmetic number, because the mean of its divisors is an integer number (10985651040).

Almost surely, 2^{11478752157600} is an apocalyptic number.

11478752157600 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 11478752157600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28474807495680).

11478752157600 is an abundant number, since it is smaller than the sum of its proper divisors (45470862833760).

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

11478752157600 is a wasteful number, since it uses less digits than its factorization.

11478752157600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 54.

The spelling of 11478752157600 in words is "eleven trillion, four hundred seventy-eight billion, seven hundred fifty-two million, one hundred fifty-seven thousand, six hundred".