11894892134400 has 1296 divisors, whose sum is σ = 47788106865408. Its totient is φ = 2802843648000.

The previous prime is 11894892134387. The next prime is 11894892134401. The reversal of 11894892134400 is 443129849811.

11894892134400 is a `hidden beast` number, since 1 + 1 + 89 + 48 + 92 + 1 + 34 + 400 = 666.

It is not an unprimeable number, because it can be changed into a prime (11894892134401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12002917905 + ... + 12002918895.

It is an arithmetic number, because the mean of its divisors is an integer number (36873539248).

Almost surely, 2^{11894892134400} is an apocalyptic number.

11894892134400 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 11894892134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23894053432704).

11894892134400 is an abundant number, since it is smaller than the sum of its proper divisors (35893214731008).

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

11894892134400 is an equidigital number, since it uses as much as digits as its factorization.

11894892134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 11894892134400 in words is "eleven trillion, eight hundred ninety-four billion, eight hundred ninety-two million, one hundred thirty-four thousand, four hundred".