11093121023400 has 1152 divisors, whose sum is σ = 44093502835200. Its totient is φ = 2571977318400.

The previous prime is 11093121023389. The next prime is 11093121023459. The reversal of 11093121023400 is 432012139011.

11093121023400 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 312 + 1 + 0 + 2 + 340 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 751202817 + ... + 751217583.

It is an arithmetic number, because the mean of its divisors is an integer number (38275610100).

Almost surely, 2^{11093121023400} is an apocalyptic number.

11093121023400 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 11093121023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22046751417600).

11093121023400 is an abundant number, since it is smaller than the sum of its proper divisors (33000381811800).

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

11093121023400 is a wasteful number, since it uses less digits than its factorization.

11093121023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14881 (or 14860 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 11093121023400 in words is "eleven trillion, ninety-three billion, one hundred twenty-one million, twenty-three thousand, four hundred".