552077386560 has 1008 divisors, whose sum is σ = 2285309445120. Its totient is φ = 121904455680.

The previous prime is 552077386537. The next prime is 552077386561. The reversal of 552077386560 is 65683770255.

552077386560 is a `hidden beast` number, since 5 + 5 + 2 + 0 + 7 + 73 + 8 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 552077386497 and 552077386506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552077386561) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 507890337 + ... + 507891423.

Almost surely, 2^552077386560 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 552077386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142654722560).

552077386560 is an abundant number, since it is smaller than the sum of its proper divisors (1733232058560).

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

552077386560 is a wasteful number, since it uses less digits than its factorization.

552077386560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 552077386560 in words is "five hundred fifty-two billion, seventy-seven million, three hundred eighty-six thousand, five hundred sixty".