54201888 has 144 divisors (see below), whose sum is σ = 171714816. Its totient is φ = 16104960.

The previous prime is 54201871. The next prime is 54201941. The reversal of 54201888 is 88810245.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115831 + ... + 116297.

It is an arithmetic number, because the mean of its divisors is an integer number (1192464).

Almost surely, 2^54201888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54201888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85857408).

54201888 is an abundant number, since it is smaller than the sum of its proper divisors (117512928).

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

54201888 is a wasteful number, since it uses less digits than its factorization.

54201888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 54201888 is about 7362.1931515004. The cubic root of 54201888 is about 378.4467716443.

The spelling of 54201888 in words is "fifty-four million, two hundred one thousand, eight hundred eighty-eight".