552095774496 has 420 divisors, whose sum is σ = 1901352473622. Its totient is φ = 157725646848.

The previous prime is 552095774473. The next prime is 552095774539. The reversal of 552095774496 is 694477590255.

552095774496 is a `hidden beast` number, since 5 + 5 + 20 + 9 + 57 + 74 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 495385114896 + 56710659600 = 703836^2 + 238140^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 56005600 + ... + 56015456.

Almost surely, 2^552095774496 is an apocalyptic number.

552095774496 is a gapful number since it is divisible by the number (56) 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 552095774496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950676236811).

552095774496 is an abundant number, since it is smaller than the sum of its proper divisors (1349256699126).

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

552095774496 is an frugal number, since it uses more digits than its factorization.

552095774496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9913 (or 9869 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 552095774496 in words is "five hundred fifty-two billion, ninety-five million, seven hundred seventy-four thousand, four hundred ninety-six".