11975043225600 has 1728 divisors, whose sum is σ = 52998704740800. Its totient is φ = 2516330741760.

The previous prime is 11975043225583. The next prime is 11975043225619. The reversal of 11975043225600 is 652234057911.

11975043225600 is a `hidden beast` number, since 1 + 1 + 9 + 7 + 5 + 0 + 4 + 32 + 2 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14802277996 + ... + 14802278804.

It is an arithmetic number, because the mean of its divisors is an integer number (30670546725).

Almost surely, 2^{11975043225600} is an apocalyptic number.

11975043225600 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 11975043225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26499352370400).

11975043225600 is an abundant number, since it is smaller than the sum of its proper divisors (41023661515200).

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

11975043225600 is a wasteful number, since it uses less digits than its factorization.

11975043225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 11975043225600 in words is "eleven trillion, nine hundred seventy-five billion, forty-three million, two hundred twenty-five thousand, six hundred".