550055600640 has 480 divisors, whose sum is σ = 2344620934656. Its totient is φ = 116055244800.

The previous prime is 550055600621. The next prime is 550055600713. The reversal of 550055600640 is 46006550055.

It is a happy number.

550055600640 is a `hidden beast` number, since 5 + 5 + 0 + 0 + 5 + 5 + 6 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×550055600640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 550055600595 and 550055600604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1965465 + ... + 2227815.

Almost surely, 2^550055600640 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 550055600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172310467328).

550055600640 is an abundant number, since it is smaller than the sum of its proper divisors (1794565334016).

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

550055600640 is a wasteful number, since it uses less digits than its factorization.

550055600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262400 (or 262381 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 550055600640 in words is "five hundred fifty billion, fifty-five million, six hundred thousand, six hundred forty".