54349555200 has 240 divisors, whose sum is σ = 180566210880. Its totient is φ = 14410424320.

The previous prime is 54349555181. The next prime is 54349555201. The reversal of 54349555200 is 255594345.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54349555201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6869647 + ... + 6877553.

It is an arithmetic number, because the mean of its divisors is an integer number (752359212).

Almost surely, 2^54349555200 is an apocalyptic number.

54349555200 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 54349555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90283105440).

54349555200 is an abundant number, since it is smaller than the sum of its proper divisors (126216655680).

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

54349555200 is a wasteful number, since it uses less digits than its factorization.

54349555200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8117 (or 8096 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The spelling of 54349555200 in words is "fifty-four billion, three hundred forty-nine million, five hundred fifty-five thousand, two hundred".