550148665651200 has 6552 divisors, whose sum is σ = 2640216649556016. Its totient is φ = 113304954470400.

The previous prime is 550148665651183. The next prime is 550148665651213. The reversal of 550148665651200 is 2156566841055.

550148665651200 is a `hidden beast` number, since 5 + 5 + 0 + 1 + 4 + 8 + 66 + 565 + 12 + 0 + 0 = 666.

It is a super-2 number, since 2×550148665651200² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 4868572262344 + ... + 4868572262456.

Almost surely, 2^{550148665651200} is an apocalyptic number.

550148665651200 is a gapful number since it is divisible by the number (50) 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 550148665651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320108324778008).

550148665651200 is an abundant number, since it is smaller than the sum of its proper divisors (2090067983904816).

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

550148665651200 is an equidigital number, since it uses as much as digits as its factorization.

550148665651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 550148665651200 in words is "five hundred fifty trillion, one hundred forty-eight billion, six hundred sixty-five million, six hundred fifty-one thousand, two hundred".