552649315680 has 576 divisors, whose sum is σ = 2427134201856. Its totient is φ = 111131136000.

The previous prime is 552649315651. The next prime is 552649315721. The reversal of 552649315680 is 86513946255.

552649315680 is a `hidden beast` number, since 5 + 5 + 2 + 6 + 49 + 31 + 568 + 0 = 666.

It is a super-2 number, since 2×552649315680² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3356890 + ... + 3517670.

It is an arithmetic number, because the mean of its divisors is an integer number (4213774656).

Almost surely, 2^552649315680 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 552649315680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213567100928).

552649315680 is an abundant number, since it is smaller than the sum of its proper divisors (1874484886176).

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

552649315680 is a wasteful number, since it uses less digits than its factorization.

552649315680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160851 (or 160840 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 552649315680 in words is "five hundred fifty-two billion, six hundred forty-nine million, three hundred fifteen thousand, six hundred eighty".