552078720400 has 135 divisors (see below), whose sum is σ = 1343692313571. Its totient is φ = 217984235520.

The previous prime is 552078720397. The next prime is 552078720437. The reversal of 552078720400 is 4027870255.

It is a happy number.

The square root of 552078720400 is 743020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 20299410576 + 531779309824 = 142476^2 + 729232^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1441458609 + ... + 1441458991.

Almost surely, 2^552078720400 is an apocalyptic number.

552078720400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

552078720400 is the 743020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552078720400

552078720400 is an abundant number, since it is smaller than the sum of its proper divisors (791613593171).

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

552078720400 is an frugal number, since it uses more digits than its factorization.

552078720400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 40.

The spelling of 552078720400 in words is "five hundred fifty-two billion, seventy-eight million, seven hundred twenty thousand, four hundred".