552797167680 has 336 divisors, whose sum is σ = 1940100402240. Its totient is φ = 144428396544.

The previous prime is 552797167673. The next prime is 552797167717. The reversal of 552797167680 is 86761797255.

552797167680 is a `hidden beast` number, since 5 + 527 + 97 + 16 + 7 + 6 + 8 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 52160142 + ... + 52170738.

It is an arithmetic number, because the mean of its divisors is an integer number (5774108340).

Almost surely, 2^552797167680 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 552797167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970050201120).

552797167680 is an abundant number, since it is smaller than the sum of its proper divisors (1387303234560).

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

552797167680 is a wasteful number, since it uses less digits than its factorization.

552797167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10986 (or 10973 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 552797167680 in words is "five hundred fifty-two billion, seven hundred ninety-seven million, one hundred sixty-seven thousand, six hundred eighty".