11981049292800 has 1728 divisors, whose sum is σ = 51954034728960. Its totient is φ = 2679343349760.

The previous prime is 11981049292777. The next prime is 11981049292843. The reversal of 11981049292800 is 829294018911.

11981049292800 is a `hidden beast` number, since 119 + 8 + 10 + 492 + 9 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

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, 4093284937 + ... + 4093287863.

It is an arithmetic number, because the mean of its divisors is an integer number (30065992320).

Almost surely, 2^{11981049292800} is an apocalyptic number.

11981049292800 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 11981049292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25977017364480).

11981049292800 is an abundant number, since it is smaller than the sum of its proper divisors (39972985436160).

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

11981049292800 is an equidigital number, since it uses as much as digits as its factorization.

11981049292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3028 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 11981049292800 in words is "eleven trillion, nine hundred eighty-one billion, forty-nine million, two hundred ninety-two thousand, eight hundred".