54014042880 has 1296 divisors, whose sum is σ = 239373755712. Its totient is φ = 10970726400.

The previous prime is 54014042869. The next prime is 54014042959. The reversal of 54014042880 is 8824041045.

54014042880 is a `hidden beast` number, since 540 + 14 + 0 + 4 + 28 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1317415660 + ... + 1317415700.

It is an arithmetic number, because the mean of its divisors is an integer number (184701972).

Almost surely, 2^54014042880 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 54014042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119686877856).

54014042880 is an abundant number, since it is smaller than the sum of its proper divisors (185359712832).

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

54014042880 is a wasteful number, since it uses less digits than its factorization.

54014042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 54014042880 in words is "fifty-four billion, fourteen million, forty-two thousand, eight hundred eighty".