552409804800 has 2496 divisors, whose sum is σ = 2597550888960. Its totient is φ = 112113745920.

The previous prime is 552409804799. The next prime is 552409804853. The reversal of 552409804800 is 8408904255.

552409804800 is a `hidden beast` number, since 5 + 52 + 40 + 9 + 80 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7567257564 + ... + 7567257636.

Almost surely, 2^552409804800 is an apocalyptic number.

552409804800 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 552409804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298775444480).

552409804800 is an abundant number, since it is smaller than the sum of its proper divisors (2045141084160).

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

552409804800 is a wasteful number, since it uses less digits than its factorization.

552409804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 552409804800 in words is "five hundred fifty-two billion, four hundred nine million, eight hundred four thousand, eight hundred".