552481357824 has 640 divisors, whose sum is σ = 1827010944000. Its totient is φ = 164985569280.

The previous prime is 552481357801. The next prime is 552481357861. The reversal of 552481357824 is 428753184255.

It is a happy number.

552481357824 is a `hidden beast` number, since 5 + 5 + 2 + 48 + 1 + 3 + 578 + 24 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3707928502 + ... + 3707928650.

It is an arithmetic number, because the mean of its divisors is an integer number (2854704600).

Almost surely, 2^552481357824 is an apocalyptic number.

552481357824 is a gapful number since it is divisible by the number (54) 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 552481357824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913505472000).

552481357824 is an abundant number, since it is smaller than the sum of its proper divisors (1274529586176).

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

552481357824 is a wasteful number, since it uses less digits than its factorization.

552481357824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 292 counting only the distinct ones).

The product of its digits is 10752000, while the sum is 54.

The spelling of 552481357824 in words is "five hundred fifty-two billion, four hundred eighty-one million, three hundred fifty-seven thousand, eight hundred twenty-four".