550106472468672 has 336 divisors, whose sum is σ = 1869178975652352. Its totient is φ = 157139498188800.

The previous prime is 550106472468643. The next prime is 550106472468691. The reversal of 550106472468672 is 276864274601055.

550106472468672 is a `hidden beast` number, since 5 + 5 + 0 + 10 + 6 + 472 + 4 + 6 + 86 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×550106472468672² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 508180797 + ... + 509262147.

It is an arithmetic number, because the mean of its divisors is an integer number (5563032665632).

Almost surely, 2^{550106472468672} 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 550106472468672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934589487826176).

550106472468672 is an abundant number, since it is smaller than the sum of its proper divisors (1319072503183680).

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

550106472468672 is a wasteful number, since it uses less digits than its factorization.

550106472468672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086058 (or 1086036 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 550106472468672 in words is "five hundred fifty trillion, one hundred six billion, four hundred seventy-two million, four hundred sixty-eight thousand, six hundred seventy-two".