552062041933248 has 1120 divisors, whose sum is σ = 2082721915929600. Its totient is φ = 143338302535680.

The previous prime is 552062041933223. The next prime is 552062041933289. The reversal of 552062041933248 is 842339140260255.

552062041933248 is a `hidden beast` number, since 5 + 5 + 2 + 0 + 6 + 204 + 193 + 3 + 248 = 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 = 552062041933194 and 552062041933203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 91204695790 + ... + 91204701842.

Almost surely, 2^{552062041933248} 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 552062041933248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041360957964800).

552062041933248 is an abundant number, since it is smaller than the sum of its proper divisors (1530659873996352).

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

552062041933248 is a wasteful number, since it uses less digits than its factorization.

552062041933248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10772 (or 10739 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 552062041933248 in words is "five hundred fifty-two trillion, sixty-two billion, forty-one million, nine hundred thirty-three thousand, two hundred forty-eight".