54119658240 has 216 divisors, whose sum is σ = 187683350400. Its totient is φ = 14398390272.

The previous prime is 54119658239. The next prime is 54119658259. The reversal of 54119658240 is 4285691145.

54119658240 is a `hidden beast` number, since 54 + 1 + 19 + 6 + 582 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5167249 + ... + 5177711.

It is an arithmetic number, because the mean of its divisors is an integer number (868904400).

Almost surely, 2^54119658240 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 54119658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93841675200).

54119658240 is an abundant number, since it is smaller than the sum of its proper divisors (133563692160).

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

54119658240 is a wasteful number, since it uses less digits than its factorization.

54119658240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10939 (or 10922 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 54119658240 in words is "fifty-four billion, one hundred nineteen million, six hundred fifty-eight thousand, two hundred forty".