54121411008 has 1008 divisors, whose sum is σ = 202367692800. Its totient is φ = 14265538560.

The previous prime is 54121411007. The next prime is 54121411013. The reversal of 54121411008 is 80011412145.

It is a happy number.

54121411008 is a `hidden beast` number, since 5 + 412 + 141 + 100 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54121411007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 685081113 + ... + 685081191.

It is an arithmetic number, because the mean of its divisors is an integer number (200761600).

Almost surely, 2^54121411008 is an apocalyptic number.

54121411008 is a gapful number since it is divisible by the number (58) 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 54121411008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101183846400).

54121411008 is an abundant number, since it is smaller than the sum of its proper divisors (148246281792).

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

54121411008 is a wasteful number, since it uses less digits than its factorization.

54121411008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 54121411008 in words is "fifty-four billion, one hundred twenty-one million, four hundred eleven thousand, eight".