54719800 has 48 divisors (see below), whose sum is σ = 128462760. Its totient is φ = 21674880.

The previous prime is 54719761. The next prime is 54719813. The reversal of 54719800 is 891745.

It is a happy number.

54719800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20122 + ... + 22678.

Almost surely, 2^54719800 is an apocalyptic number.

54719800 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 54719800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64231380).

54719800 is an abundant number, since it is smaller than the sum of its proper divisors (73742960).

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

54719800 is a wasteful number, since it uses less digits than its factorization.

54719800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 54719800 is about 7397.2832850987. The cubic root of 54719800 is about 379.6483357855.

The spelling of 54719800 in words is "fifty-four million, seven hundred nineteen thousand, eight hundred".