6553558583600 has 240 divisors, whose sum is σ = 18605711824896. Its totient is φ = 2170817280000.

The previous prime is 6553558583587. The next prime is 6553558583641. The reversal of 6553558583600 is 63858553556.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6553558583600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52103987 + ... + 52229613.

Almost surely, 2^{6553558583600} 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 6553558583600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9302855912448).

6553558583600 is an abundant number, since it is smaller than the sum of its proper divisors (12052153241296).

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

6553558583600 is a wasteful number, since it uses less digits than its factorization.

6553558583600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126284 (or 126273 counting only the distinct ones).

The product of its (nonzero) digits is 64800000, while the sum is 59.

The spelling of 6553558583600 in words is "six trillion, five hundred fifty-three billion, five hundred fifty-eight million, five hundred eighty-three thousand, six hundred".