55028079800064 has 1728 divisors, whose sum is σ = 209499652454400. Its totient is φ = 14142830542848.

The previous prime is 55028079800039. The next prime is 55028079800093. The reversal of 55028079800064 is 46000897082055.

55028079800064 is a `hidden beast` number, since 5 + 502 + 8 + 0 + 79 + 8 + 0 + 0 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11636301252 + ... + 11636305980.

It is an arithmetic number, because the mean of its divisors is an integer number (121238224800).

Almost surely, 2^{55028079800064} is an apocalyptic number.

55028079800064 is a gapful number since it is divisible by the number (54) 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 55028079800064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104749826227200).

55028079800064 is an abundant number, since it is smaller than the sum of its proper divisors (154471572654336).

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

55028079800064 is a wasteful number, since it uses less digits than its factorization.

55028079800064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4875 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 55028079800064 in words is "fifty-five trillion, twenty-eight billion, seventy-nine million, eight hundred thousand, sixty-four".