54144921600 has 1404 divisors, whose sum is σ = 248365208520. Its totient is φ = 11147673600.

The previous prime is 54144921577. The next prime is 54144921601. The reversal of 54144921600 is 612944145.

54144921600 is a `hidden beast` number, since 5 + 4 + 1 + 4 + 49 + 2 + 1 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54144921601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 496742346 + ... + 496742454.

Almost surely, 2^54144921600 is an apocalyptic number.

54144921600 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 54144921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124182604260).

54144921600 is an abundant number, since it is smaller than the sum of its proper divisors (194220286920).

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

54144921600 is a wasteful number, since it uses less digits than its factorization.

54144921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 54144921600 in words is "fifty-four billion, one hundred forty-four million, nine hundred twenty-one thousand, six hundred".