553416766560 has 960 divisors, whose sum is σ = 2425621524480. Its totient is φ = 115960688640.

The previous prime is 553416766543. The next prime is 553416766577. The reversal of 553416766560 is 65667614355.

553416766560 is a `hidden beast` number, since 5 + 5 + 3 + 4 + 1 + 6 + 76 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (553416766543) and next prime (553416766577).

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 = 553416766497 and 553416766506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 53428902 + ... + 53439258.

It is an arithmetic number, because the mean of its divisors is an integer number (2526689088).

Almost surely, 2^553416766560 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 553416766560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212810762240).

553416766560 is an abundant number, since it is smaller than the sum of its proper divisors (1872204757920).

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

553416766560 is a wasteful number, since it uses less digits than its factorization.

553416766560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10441 (or 10424 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 553416766560 in words is "five hundred fifty-three billion, four hundred sixteen million, seven hundred sixty-six thousand, five hundred sixty".