11945037081600 has 2112 divisors, whose sum is σ = 52550924620800. Its totient is φ = 2633637888000.

The previous prime is 11945037081539. The next prime is 11945037081619. The reversal of 11945037081600 is 618073054911.

11945037081600 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 5 + 0 + 37 + 0 + 8 + 1 + 600 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11365401075 + ... + 11365402125.

Almost surely, 2^{11945037081600} is an apocalyptic number.

11945037081600 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 11945037081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26275462310400).

11945037081600 is an abundant number, since it is smaller than the sum of its proper divisors (40605887539200).

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

11945037081600 is an equidigital number, since it uses as much as digits as its factorization.

11945037081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 11945037081600 in words is "eleven trillion, nine hundred forty-five billion, thirty-seven million, eighty-one thousand, six hundred".