54121020408 has 768 divisors, whose sum is σ = 195608125440. Its totient is φ = 13138329600.

The previous prime is 54121020391. The next prime is 54121020427. The reversal of 54121020408 is 80402012145.

54121020408 is a `hidden beast` number, since 5 + 41 + 210 + 2 + 0 + 408 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 557948616 + ... + 557948712.

It is an arithmetic number, because the mean of its divisors is an integer number (254698080).

Almost surely, 2^54121020408 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 54121020408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97804062720).

54121020408 is an abundant number, since it is smaller than the sum of its proper divisors (141487105032).

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

54121020408 is a wasteful number, since it uses less digits than its factorization.

54121020408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 54121020408 in words is "fifty-four billion, one hundred twenty-one million, twenty thousand, four hundred eight".