54142848000 has 528 divisors, whose sum is σ = 199827746976. Its totient is φ = 14089420800.

The previous prime is 54142847999. The next prime is 54142848013. The reversal of 54142848000 is 84824145.

It is a super-2 number, since 2×54142848000² (a number of 22 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49535454 + ... + 49536546.

It is an arithmetic number, because the mean of its divisors is an integer number (378461642).

Almost surely, 2^54142848000 is an apocalyptic number.

54142848000 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 54142848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99913873488).

54142848000 is an abundant number, since it is smaller than the sum of its proper divisors (145684898976).

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

54142848000 is a wasteful number, since it uses less digits than its factorization.

54142848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 54142848000 in words is "fifty-four billion, one hundred forty-two million, eight hundred forty-eight thousand".