11794905374400 has 672 divisors, whose sum is σ = 47505482311680. Its totient is φ = 2831577661440.

The previous prime is 11794905374393. The next prime is 11794905374443. The reversal of 11794905374400 is 447350949711.

11794905374400 is a `hidden beast` number, since 1 + 17 + 9 + 4 + 90 + 537 + 4 + 4 + 0 + 0 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16542057 + ... + 17240343.

Almost surely, 2^{11794905374400} is an apocalyptic number.

11794905374400 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 11794905374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23752741155840).

11794905374400 is an abundant number, since it is smaller than the sum of its proper divisors (35710576937280).

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

11794905374400 is a wasteful number, since it uses less digits than its factorization.

11794905374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698358 (or 698337 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 11794905374400 in words is "eleven trillion, seven hundred ninety-four billion, nine hundred five million, three hundred seventy-four thousand, four hundred".