552626536000 has 448 divisors, whose sum is σ = 1747977573888. Its totient is φ = 168038400000.

The previous prime is 552626535997. The next prime is 552626536003. The reversal of 552626536000 is 635626255.

It is an interprime number because it is at equal distance from previous prime (552626535997) and next prime (552626536003).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (552626536003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25245060 + ... + 25266940.

It is an arithmetic number, because the mean of its divisors is an integer number (3901735656).

Almost surely, 2^552626536000 is an apocalyptic number.

552626536000 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 552626536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873988786944).

552626536000 is an abundant number, since it is smaller than the sum of its proper divisors (1195351037888).

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

552626536000 is a wasteful number, since it uses less digits than its factorization.

552626536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21967 (or 21947 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 40.

The spelling of 552626536000 in words is "five hundred fifty-two billion, six hundred twenty-six million, five hundred thirty-six thousand".