11331838796400 has 600 divisors, whose sum is σ = 41644726639824. Its totient is φ = 2949430579200.

The previous prime is 11331838796371. The next prime is 11331838796401. The reversal of 11331838796400 is 469783813311.

11331838796400 is a `hidden beast` number, since 1 + 133 + 1 + 8 + 38 + 79 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331838796401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3200178630 + ... + 3200182170.

Almost surely, 2^{11331838796400} is an apocalyptic number.

11331838796400 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 11331838796400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20822363319912).

11331838796400 is an abundant number, since it is smaller than the sum of its proper divisors (30312887843424).

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

11331838796400 is a wasteful number, since it uses less digits than its factorization.

11331838796400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5911 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 11331838796400 in words is "eleven trillion, three hundred thirty-one billion, eight hundred thirty-eight million, seven hundred ninety-six thousand, four hundred".