550646203953888 has 768 divisors, whose sum is σ = 1880840908800000. Its totient is φ = 156665412513792.

The previous prime is 550646203953883. The next prime is 550646203953907. The reversal of 550646203953888 is 888359302646055.

550646203953888 is a `hidden beast` number, since 5 + 5 + 0 + 6 + 4 + 6 + 2 + 0 + 3 + 9 + 538 + 88 = 666.

It is a super-2 number, since 2×550646203953888² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550646203953883) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114741861313 + ... + 114741866111.

It is an arithmetic number, because the mean of its divisors is an integer number (2449011600000).

Almost surely, 2^{550646203953888} 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 550646203953888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940420454400000).

550646203953888 is an abundant number, since it is smaller than the sum of its proper divisors (1330194704846112).

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

550646203953888 is a wasteful number, since it uses less digits than its factorization.

550646203953888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6389 (or 6361 counting only the distinct ones).

The product of its (nonzero) digits is 1492992000, while the sum is 72.

The spelling of 550646203953888 in words is "five hundred fifty trillion, six hundred forty-six billion, two hundred three million, nine hundred fifty-three thousand, eight hundred eighty-eight".