552465411472200 has 768 divisors, whose sum is σ = 1873170349424640. Its totient is φ = 134287604352000.

The previous prime is 552465411472199. The next prime is 552465411472201. The reversal of 552465411472200 is 2274114564255.

It is an interprime number because it is at equal distance from previous prime (552465411472199) and next prime (552465411472201).

It is a self number, because there is not a number n which added to its sum of digits gives 552465411472200.

It is not an unprimeable number, because it can be changed into a prime (552465411472201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7644322065 + ... + 7644394335.

It is an arithmetic number, because the mean of its divisors is an integer number (2439023892480).

Almost surely, 2^{552465411472200} is an apocalyptic number.

552465411472200 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 552465411472200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936585174712320).

552465411472200 is an abundant number, since it is smaller than the sum of its proper divisors (1320704937952440).

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

552465411472200 is a wasteful number, since it uses less digits than its factorization.

552465411472200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72618 (or 72609 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 48.

The spelling of 552465411472200 in words is "five hundred fifty-two trillion, four hundred sixty-five billion, four hundred eleven million, four hundred seventy-two thousand, two hundred".