123543536400 has 180 divisors, whose sum is σ = 428879692800. Its totient is φ = 32933472000.

The previous prime is 123543536387. The next prime is 123543536423. The reversal of 123543536400 is 4635345321.

123543536400 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 4 + 3 + 5 + 3 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17272825 + ... + 17279975.

It is an arithmetic number, because the mean of its divisors is an integer number (2382664960).

Almost surely, 2^123543536400 is an apocalyptic number.

123543536400 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 123543536400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214439846400).

123543536400 is an abundant number, since it is smaller than the sum of its proper divisors (305336156400).

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

123543536400 is a wasteful number, since it uses less digits than its factorization.

123543536400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11974 (or 11960 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 123543536400 in words is "one hundred twenty-three billion, five hundred forty-three million, five hundred thirty-six thousand, four hundred".