54121878720 has 672 divisors, whose sum is σ = 237049787520. Its totient is φ = 11023810560.

The previous prime is 54121878709. The next prime is 54121878773. The reversal of 54121878720 is 2787812145.

54121878720 is a `hidden beast` number, since 541 + 2 + 1 + 8 + 7 + 87 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 7596760 + ... + 7603880.

It is an arithmetic number, because the mean of its divisors is an integer number (352752660).

Almost surely, 2^54121878720 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 54121878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118524893760).

54121878720 is an abundant number, since it is smaller than the sum of its proper divisors (182927908800).

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

54121878720 is a wasteful number, since it uses less digits than its factorization.

54121878720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7193 (or 7180 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 54121878720 in words is "fifty-four billion, one hundred twenty-one million, eight hundred seventy-eight thousand, seven hundred twenty".