552267915264 has 896 divisors, whose sum is σ = 1882603296000. Its totient is φ = 158742872064.

The previous prime is 552267915259. The next prime is 552267915289. The reversal of 552267915264 is 462519762255.

552267915264 is a `hidden beast` number, since 5 + 5 + 2 + 26 + 7 + 91 + 526 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 552267915264.

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 63 ways as a sum of consecutive naturals, for example, 3085295527 + ... + 3085295705.

It is an arithmetic number, because the mean of its divisors is an integer number (2101119750).

Almost surely, 2^552267915264 is an apocalyptic number.

552267915264 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 552267915264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941301648000).

552267915264 is an abundant number, since it is smaller than the sum of its proper divisors (1330335380736).

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

552267915264 is a wasteful number, since it uses less digits than its factorization.

552267915264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 263 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 552267915264 in words is "five hundred fifty-two billion, two hundred sixty-seven million, nine hundred fifteen thousand, two hundred sixty-four".