54340243200 has 756 divisors, whose sum is σ = 212618535640. Its totient is φ = 13705666560.

The previous prime is 54340243193. The next prime is 54340243229. The reversal of 54340243200 is 234204345.

54340243200 is a `hidden beast` number, since 5 + 434 + 0 + 24 + 3 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 88646094 + ... + 88646706.

Almost surely, 2^54340243200 is an apocalyptic number.

54340243200 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 54340243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106309267820).

54340243200 is an abundant number, since it is smaller than the sum of its proper divisors (158278292440).

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

54340243200 is an equidigital number, since it uses as much as digits as its factorization.

54340243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 54340243200 its reverse (234204345), we get a palindrome (54574447545).

The spelling of 54340243200 in words is "fifty-four billion, three hundred forty million, two hundred forty-three thousand, two hundred".