54319749120 has 1536 divisors, whose sum is σ = 253609574400. Its totient is φ = 10701766656.

The previous prime is 54319749109. The next prime is 54319749181. The reversal of 54319749120 is 2194791345.

54319749120 is a `hidden beast` number, since 5 + 431 + 97 + 4 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 427714497 + ... + 427714623.

It is an arithmetic number, because the mean of its divisors is an integer number (165110400).

Almost surely, 2^54319749120 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 54319749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126804787200).

54319749120 is an abundant number, since it is smaller than the sum of its proper divisors (199289825280).

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

54319749120 is a wasteful number, since it uses less digits than its factorization.

54319749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 54319749120 in words is "fifty-four billion, three hundred nineteen million, seven hundred forty-nine thousand, one hundred twenty".