552181069440 has 1536 divisors, whose sum is σ = 2655679703040. Its totient is φ = 105882992640.

The previous prime is 552181069421. The next prime is 552181069487. The reversal of 552181069440 is 44960181255.

552181069440 is a `hidden beast` number, since 5 + 521 + 81 + 0 + 6 + 9 + 4 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 155673747 + ... + 155677293.

It is an arithmetic number, because the mean of its divisors is an integer number (1728958140).

Almost surely, 2^552181069440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552181069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327839851520).

552181069440 is an abundant number, since it is smaller than the sum of its proper divisors (2103498633600).

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

552181069440 is a wasteful number, since it uses less digits than its factorization.

552181069440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 552181069440 in words is "five hundred fifty-two billion, one hundred eighty-one million, sixty-nine thousand, four hundred forty".