54450368000 has 480 divisors, whose sum is σ = 160462542240. Its totient is φ = 18373017600.

The previous prime is 54450367999. The next prime is 54450368029. The reversal of 54450368000 is 86305445.

54450368000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304191911 + ... + 304192089.

It is an arithmetic number, because the mean of its divisors is an integer number (334296963).

Almost surely, 2^54450368000 is an apocalyptic number.

54450368000 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 54450368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80231271120).

54450368000 is an abundant number, since it is smaller than the sum of its proper divisors (106012174240).

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

54450368000 is an equidigital number, since it uses as much as digits as its factorization.

54450368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 54450368000 in words is "fifty-four billion, four hundred fifty million, three hundred sixty-eight thousand".