54742800000 has 960 divisors, whose sum is σ = 223190402400. Its totient is φ = 11854080000.

The previous prime is 54742799987. The next prime is 54742800023. The reversal of 54742800000 is 824745.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2881199991 + ... + 2881200009.

Almost surely, 2^54742800000 is an apocalyptic number.

54742800000 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 54742800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111595201200).

54742800000 is an abundant number, since it is smaller than the sum of its proper divisors (168447602400).

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

54742800000 is an frugal number, since it uses more digits than its factorization.

54742800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The spelling of 54742800000 in words is "fifty-four billion, seven hundred forty-two million, eight hundred thousand".