56664060276960 has 288 divisors, whose sum is σ = 200179003594752. Its totient is φ = 14580838149120.

The previous prime is 56664060276899. The next prime is 56664060277001. The reversal of 56664060276960 is 6967206046665.

It is a happy number.

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

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 47 ways as a sum of consecutive naturals, for example, 13661037 + ... + 17319123.

It is an arithmetic number, because the mean of its divisors is an integer number (695065984704).

Almost surely, 2^{56664060276960} 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 56664060276960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100089501797376).

56664060276960 is an abundant number, since it is smaller than the sum of its proper divisors (143514943317792).

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

56664060276960 is a wasteful number, since it uses less digits than its factorization.

56664060276960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658486 (or 3658475 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 56664060276960 in words is "fifty-six trillion, six hundred sixty-four billion, sixty million, two hundred seventy-six thousand, nine hundred sixty".