550235657664 has 2688 divisors, whose sum is σ = 2401726464000. Its totient is φ = 121230950400.

The previous prime is 550235657627. The next prime is 550235657717. The reversal of 550235657664 is 466756532055.

550235657664 is a `hidden beast` number, since 5 + 5 + 0 + 2 + 3 + 5 + 6 + 576 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 550235657664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9326028067 + ... + 9326028125.

Almost surely, 2^550235657664 is an apocalyptic number.

550235657664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 550235657664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200863232000).

550235657664 is an abundant number, since it is smaller than the sum of its proper divisors (1851490806336).

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

550235657664 is a wasteful number, since it uses less digits than its factorization.

550235657664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 22680000, while the sum is 54.

The spelling of 550235657664 in words is "five hundred fifty billion, two hundred thirty-five million, six hundred fifty-seven thousand, six hundred sixty-four".