54905862400 has 243 divisors, whose sum is σ = 142155755833. Its totient is φ = 20995072000.

The previous prime is 54905862379. The next prime is 54905862413. The reversal of 54905862400 is 426850945.

The square root of 54905862400 is 234320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 5330168064 + 49575694336 = 73008^2 + 222656^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 543622350 + ... + 543622450.

Almost surely, 2^54905862400 is an apocalyptic number.

54905862400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54905862400 is the 234320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54905862400

54905862400 is an abundant number, since it is smaller than the sum of its proper divisors (87249893433).

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

54905862400 is an equidigital number, since it uses as much as digits as its factorization.

54905862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 54905862400 in words is "fifty-four billion, nine hundred five million, eight hundred sixty-two thousand, four hundred".