54234472400 has 120 divisors (see below), whose sum is σ = 133605600480. Its totient is φ = 21145259520.

The previous prime is 54234472399. The next prime is 54234472427. The reversal of 54234472400 is 427443245.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8992586 + ... + 8998614.

It is an arithmetic number, because the mean of its divisors is an integer number (1113380004).

Almost surely, 2^54234472400 is an apocalyptic number.

54234472400 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 54234472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66802800240).

54234472400 is an abundant number, since it is smaller than the sum of its proper divisors (79371128080).

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

54234472400 is a wasteful number, since it uses less digits than its factorization.

54234472400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6613 (or 6602 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 35.

The spelling of 54234472400 in words is "fifty-four billion, two hundred thirty-four million, four hundred seventy-two thousand, four hundred".