11104651994400 has 1152 divisors, whose sum is σ = 43620568104960. Its totient is φ = 2715526840320.

The previous prime is 11104651994393. The next prime is 11104651994453. The reversal of 11104651994400 is 449915640111.

11104651994400 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 4 + 6 + 519 + 94 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10215870657 + ... + 10215871743.

It is an arithmetic number, because the mean of its divisors is an integer number (37865076480).

Almost surely, 2^{11104651994400} is an apocalyptic number.

11104651994400 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 11104651994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21810284052480).

11104651994400 is an abundant number, since it is smaller than the sum of its proper divisors (32515916110560).

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

11104651994400 is a wasteful number, since it uses less digits than its factorization.

11104651994400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 11104651994400 in words is "eleven trillion, one hundred four billion, six hundred fifty-one million, nine hundred ninety-four thousand, four hundred".