553366680048 has 960 divisors, whose sum is σ = 2054951808000. Its totient is φ = 143204060160.

The previous prime is 553366680019. The next prime is 553366680067. The reversal of 553366680048 is 840086663355.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 553366679976 and 553366680003.

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 191 ways as a sum of consecutive naturals, for example, 1022858658 + ... + 1022859198.

It is an arithmetic number, because the mean of its divisors is an integer number (2140574800).

Almost surely, 2^553366680048 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 553366680048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027475904000).

553366680048 is an abundant number, since it is smaller than the sum of its proper divisors (1501585127952).

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

553366680048 is a wasteful number, since it uses less digits than its factorization.

553366680048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 553366680048 in words is "five hundred fifty-three billion, three hundred sixty-six million, six hundred eighty thousand, forty-eight".