56439055449504 has 288 divisors, whose sum is σ = 197545443548544. Its totient is φ = 14884366325760.

The previous prime is 56439055449463. The next prime is 56439055449509. The reversal of 56439055449504 is 40594455093465.

56439055449504 is a `hidden beast` number, since 5 + 6 + 4 + 3 + 90 + 5 + 54 + 495 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (56439055449509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 961568382 + ... + 961627074.

It is an arithmetic number, because the mean of its divisors is an integer number (685921678988).

Almost surely, 2^{56439055449504} 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 56439055449504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98772721774272).

56439055449504 is an abundant number, since it is smaller than the sum of its proper divisors (141106388099040).

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

56439055449504 is a wasteful number, since it uses less digits than its factorization.

56439055449504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95420 (or 95409 counting only the distinct ones).

The product of its (nonzero) digits is 233280000, while the sum is 63.

The spelling of 56439055449504 in words is "fifty-six trillion, four hundred thirty-nine billion, fifty-five million, four hundred forty-nine thousand, five hundred four".