11954491660800 has 2400 divisors, whose sum is σ = 49386256077312. Its totient is φ = 2837454520320.

The previous prime is 11954491660777. The next prime is 11954491660841. The reversal of 11954491660800 is 806619445911.

11954491660800 is a `hidden beast` number, since 1 + 1 + 9 + 544 + 9 + 16 + 6 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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 239 ways as a sum of consecutive naturals, for example, 71583782317 + ... + 71583782483.

Almost surely, 2^{11954491660800} is an apocalyptic number.

11954491660800 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 11954491660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24693128038656).

11954491660800 is an abundant number, since it is smaller than the sum of its proper divisors (37431764416512).

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

11954491660800 is a wasteful number, since it uses less digits than its factorization.

11954491660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 11954491660800 in words is "eleven trillion, nine hundred fifty-four billion, four hundred ninety-one million, six hundred sixty thousand, eight hundred".