553555507680 has 768 divisors, whose sum is σ = 2317245235200. Its totient is φ = 120753192960.

The previous prime is 553555507643. The next prime is 553555507693. The reversal of 553555507680 is 86705555355.

553555507680 is a `hidden beast` number, since 5 + 5 + 3 + 5 + 5 + 550 + 7 + 6 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68429076 + ... + 68437164.

It is an arithmetic number, because the mean of its divisors is an integer number (3017246400).

Almost surely, 2^553555507680 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 553555507680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158622617600).

553555507680 is an abundant number, since it is smaller than the sum of its proper divisors (1763689727520).

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

553555507680 is a wasteful number, since it uses less digits than its factorization.

553555507680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8224 (or 8210 counting only the distinct ones).

The product of its (nonzero) digits is 15750000, while the sum is 54.

The spelling of 553555507680 in words is "five hundred fifty-three billion, five hundred fifty-five million, five hundred seven thousand, six hundred eighty".