56159520400 has 225 divisors, whose sum is σ = 146937614023. Its totient is φ = 20626739200.

The previous prime is 56159520397. The next prime is 56159520401. The reversal of 56159520400 is 402595165.

The square root of 56159520400 is 236980.

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

It can be written as a sum of positive squares in 22 ways, for example, as 55418809744 + 740710656 = 235412^2 + 27216^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 56159520400.

It is not an unprimeable number, because it can be changed into a prime (56159520401) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1369744380 + ... + 1369744420.

Almost surely, 2^56159520400 is an apocalyptic number.

56159520400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56159520400 is the 236980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56159520400

56159520400 is an abundant number, since it is smaller than the sum of its proper divisors (90778093623).

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

56159520400 is an frugal number, since it uses more digits than its factorization.

56159520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 37.

The spelling of 56159520400 in words is "fifty-six billion, one hundred fifty-nine million, five hundred twenty thousand, four hundred".