54743438131200 has 2448 divisors, whose sum is σ = 250460650492416. Its totient is φ = 11542619750400.

The previous prime is 54743438131189. The next prime is 54743438131229. The reversal of 54743438131200 is 213183434745.

It is a happy number.

54743438131200 is a `hidden beast` number, since 5 + 4 + 7 + 4 + 3 + 438 + 1 + 3 + 1 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36229938445 + ... + 36229939955.

Almost surely, 2^{54743438131200} is an apocalyptic number.

54743438131200 is a gapful number since it is divisible by the number (50) 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 54743438131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125230325246208).

54743438131200 is an abundant number, since it is smaller than the sum of its proper divisors (195717212361216).

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

54743438131200 is an equidigital number, since it uses as much as digits as its factorization.

54743438131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 54743438131200 in words is "fifty-four trillion, seven hundred forty-three billion, four hundred thirty-eight million, one hundred thirty-one thousand, two hundred".