66588365591552 has 352 divisors, whose sum is σ = 173497426375680. Its totient is φ = 24853738291200.

The previous prime is 66588365591521. The next prime is 66588365591599. The reversal of 66588365591552 is 25519556388566.

It is a self number, because there is not a number n which added to its sum of digits gives 66588365591552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99221927 + ... + 99890777.

It is an arithmetic number, because the mean of its divisors is an integer number (492890415840).

Almost surely, 2^{66588365591552} 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 66588365591552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86748713187840).

66588365591552 is an abundant number, since it is smaller than the sum of its proper divisors (106909060784128).

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

66588365591552 is a wasteful number, since it uses less digits than its factorization.

66588365591552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668957 (or 668939 counting only the distinct ones).

The product of its digits is 2332800000, while the sum is 74.

The spelling of 66588365591552 in words is "sixty-six trillion, five hundred eighty-eight billion, three hundred sixty-five million, five hundred ninety-one thousand, five hundred fifty-two".