552932904960 has 1040 divisors, whose sum is σ = 2132236560960. Its totient is φ = 136638627840.

The previous prime is 552932904959. The next prime is 552932904977. The reversal of 552932904960 is 69409239255.

It is a happy number.

552932904960 is a `hidden beast` number, since 5 + 5 + 293 + 290 + 4 + 9 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 552932904897 and 552932904906.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1670491995 + ... + 1670492325.

Almost surely, 2^552932904960 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 552932904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066118280480).

552932904960 is an abundant number, since it is smaller than the sum of its proper divisors (1579303656000).

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

552932904960 is a wasteful number, since it uses less digits than its factorization.

552932904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 552932904960 in words is "five hundred fifty-two billion, nine hundred thirty-two million, nine hundred four thousand, nine hundred sixty".