11863906790400 has 1056 divisors, whose sum is σ = 50031813711360. Its totient is φ = 2698665984000.

The previous prime is 11863906790389. The next prime is 11863906790423. The reversal of 11863906790400 is 409760936811.

11863906790400 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 3 + 90 + 67 + 90 + 400 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1020896590 + ... + 1020908210.

Almost surely, 2^{11863906790400} is an apocalyptic number.

11863906790400 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 11863906790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25015906855680).

11863906790400 is an abundant number, since it is smaller than the sum of its proper divisors (38167906920960).

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

11863906790400 is a wasteful number, since it uses less digits than its factorization.

11863906790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11878 (or 11849 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 11863906790400 in words is "eleven trillion, eight hundred sixty-three billion, nine hundred six million, seven hundred ninety thousand, four hundred".