553927495680 has 1248 divisors, whose sum is σ = 2275499116800. Its totient is φ = 123558690816.

The previous prime is 553927495619. The next prime is 553927495687. The reversal of 553927495680 is 86594729355.

553927495680 is a `hidden beast` number, since 5 + 5 + 3 + 9 + 27 + 49 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553927495687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24083804149 + ... + 24083804171.

It is an arithmetic number, because the mean of its divisors is an integer number (1823316600).

Almost surely, 2^553927495680 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 553927495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137749558400).

553927495680 is an abundant number, since it is smaller than the sum of its proper divisors (1721571621120).

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

553927495680 is a wasteful number, since it uses less digits than its factorization.

553927495680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 553927495680 in words is "five hundred fifty-three billion, nine hundred twenty-seven million, four hundred ninety-five thousand, six hundred eighty".