552760540200 has 960 divisors, whose sum is σ = 2147644952640. Its totient is φ = 130636800000.

The previous prime is 552760540187. The next prime is 552760540201. The reversal of 552760540200 is 2045067255.

552760540200 is a `hidden beast` number, since 5 + 5 + 2 + 7 + 605 + 40 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (552760540201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2293612080 + ... + 2293612320.

It is an arithmetic number, because the mean of its divisors is an integer number (2237130159).

Almost surely, 2^552760540200 is an apocalyptic number.

552760540200 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 552760540200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073822476320).

552760540200 is an abundant number, since it is smaller than the sum of its proper divisors (1594884412440).

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

552760540200 is a wasteful number, since it uses less digits than its factorization.

552760540200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 552760540200 in words is "five hundred fifty-two billion, seven hundred sixty million, five hundred forty thousand, two hundred".