54998782400 has 84 divisors (see below), whose sum is σ = 136671695160. Its totient is φ = 21781632000.

The previous prime is 54998782369. The next prime is 54998782403. The reversal of 54998782400 is 428789945.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54998782403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8570 + ... + 331769.

It is an arithmetic number, because the mean of its divisors is an integer number (1627043990).

Almost surely, 2^54998782400 is an apocalyptic number.

54998782400 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 54998782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68335847580).

54998782400 is an abundant number, since it is smaller than the sum of its proper divisors (81672912760).

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

54998782400 is a wasteful number, since it uses less digits than its factorization.

54998782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340462 (or 340447 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 56.

The spelling of 54998782400 in words is "fifty-four billion, nine hundred ninety-eight million, seven hundred eighty-two thousand, four hundred".