11794768003200 has 3072 divisors, whose sum is σ = 51676692480000. Its totient is φ = 2298013286400.

The previous prime is 11794768003177. The next prime is 11794768003223. The reversal of 11794768003200 is 230086749711.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11794768003177) and next prime (11794768003223).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11794768003200.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 79159516726 + ... + 79159516874.

It is an arithmetic number, because the mean of its divisors is an integer number (16821840000).

Almost surely, 2^{11794768003200} is an apocalyptic number.

11794768003200 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 11794768003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25838346240000).

11794768003200 is an abundant number, since it is smaller than the sum of its proper divisors (39881924476800).

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

11794768003200 is a wasteful number, since it uses less digits than its factorization.

11794768003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 11794768003200 in words is "eleven trillion, seven hundred ninety-four billion, seven hundred sixty-eight million, three thousand, two hundred".