54934994400 has 576 divisors, whose sum is σ = 213713821440. Its totient is φ = 12080332800.

The previous prime is 54934994371. The next prime is 54934994431. The reversal of 54934994400 is 449943945.

54934994400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20247444 + ... + 20250156.

It is an arithmetic number, because the mean of its divisors is an integer number (371030940).

Almost surely, 2^54934994400 is an apocalyptic number.

54934994400 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 54934994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106856910720).

54934994400 is an abundant number, since it is smaller than the sum of its proper divisors (158778827040).

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

54934994400 is a wasteful number, since it uses less digits than its factorization.

54934994400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 54934994400 in words is "fifty-four billion, nine hundred thirty-four million, nine hundred ninety-four thousand, four hundred".