54028088432640 has 2688 divisors, whose sum is σ = 232723368259200. Its totient is φ = 11771943321600.

The previous prime is 54028088432629. The next prime is 54028088432713. The reversal of 54028088432640 is 4623488082045.

54028088432640 is a `hidden beast` number, since 5 + 402 + 80 + 88 + 43 + 2 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 153054074704 + ... + 153054075056.

It is an arithmetic number, because the mean of its divisors is an integer number (86578634025).

Almost surely, 2^{54028088432640} 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 54028088432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116361684129600).

54028088432640 is an abundant number, since it is smaller than the sum of its proper divisors (178695279826560).

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

54028088432640 is a wasteful number, since it uses less digits than its factorization.

54028088432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 54028088432640 in words is "fifty-four trillion, twenty-eight billion, eighty-eight million, four hundred thirty-two thousand, six hundred forty".