11234055650400 has 576 divisors, whose sum is σ = 44548633704960. Its totient is φ = 2709571737600.

The previous prime is 11234055650369. The next prime is 11234055650431. The reversal of 11234055650400 is 405655043211.

11234055650400 is a `hidden beast` number, since 1 + 1 + 23 + 40 + 556 + 5 + 0 + 40 + 0 = 666.

11234055650400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11234055650369) and next prime (11234055650431).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46687197 + ... + 46927203.

It is an arithmetic number, because the mean of its divisors is an integer number (77341377960).

Almost surely, 2^{11234055650400} is an apocalyptic number.

11234055650400 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 11234055650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22274316852480).

11234055650400 is an abundant number, since it is smaller than the sum of its proper divisors (33314578054560).

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

11234055650400 is a wasteful number, since it uses less digits than its factorization.

11234055650400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240244 (or 240225 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 11234055650400 in words is "eleven trillion, two hundred thirty-four billion, fifty-five million, six hundred fifty thousand, four hundred".