54410028051456 has 2640 divisors, whose sum is σ = 214115702169600. Its totient is φ = 13642244259840.

The previous prime is 54410028051349. The next prime is 54410028051517. The reversal of 54410028051456 is 65415082001445.

54410028051456 is a `hidden beast` number, since 5 + 4 + 4 + 1 + 0 + 0 + 2 + 80 + 514 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 428425417665 + ... + 428425417791.

It is an arithmetic number, because the mean of its divisors is an integer number (81104432640).

Almost surely, 2^{54410028051456} is an apocalyptic number.

54410028051456 is a gapful number since it is divisible by the number (56) 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 54410028051456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107057851084800).

54410028051456 is an abundant number, since it is smaller than the sum of its proper divisors (159705674118144).

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

54410028051456 is a wasteful number, since it uses less digits than its factorization.

54410028051456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 54410028051456 in words is "fifty-four trillion, four hundred ten billion, twenty-eight million, fifty-one thousand, four hundred fifty-six".