553559047680 has 320 divisors, whose sum is σ = 1873180108800. Its totient is φ = 139067228160.

The previous prime is 553559047673. The next prime is 553559047681. The reversal of 553559047680 is 86740955355.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 553559047680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553559047681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26401041 + ... + 26421999.

It is an arithmetic number, because the mean of its divisors is an integer number (5853687840).

Almost surely, 2^553559047680 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 553559047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936590054400).

553559047680 is an abundant number, since it is smaller than the sum of its proper divisors (1319621061120).

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

553559047680 is a wasteful number, since it uses less digits than its factorization.

553559047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21185 (or 21169 counting only the distinct ones).

The product of its (nonzero) digits is 22680000, while the sum is 57.

The spelling of 553559047680 in words is "five hundred fifty-three billion, five hundred fifty-nine million, forty-seven thousand, six hundred eighty".