553134920256 has 756 divisors, whose sum is σ = 1799947045260. Its totient is φ = 168499077120.

The previous prime is 553134920251. The next prime is 553134920281. The reversal of 553134920256 is 652029431355.

553134920256 is a `hidden beast` number, since 5 + 5 + 31 + 349 + 20 + 256 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60634137600 + 492500782656 = 246240^2 + 701784^2 .

It is a super-2 number, since 2×553134920256² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (553134920251) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6214999060 + ... + 6214999148.

It is an arithmetic number, because the mean of its divisors is an integer number (2380882335).

Almost surely, 2^553134920256 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 553134920256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899973522630).

553134920256 is an abundant number, since it is smaller than the sum of its proper divisors (1246812125004).

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

553134920256 is an frugal number, since it uses more digits than its factorization.

553134920256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 553134920256 in words is "five hundred fifty-three billion, one hundred thirty-four million, nine hundred twenty thousand, two hundred fifty-six".