5217661008400 has 135 divisors (see below), whose sum is σ = 12625077724839. Its totient is φ = 2072244384000.

The previous prime is 5217661008389. The next prime is 5217661008409. The reversal of 5217661008400 is 48001667125.

The square root of 5217661008400 is 2284220.

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 2800307721744 + 2417353286656 = 1673412^2 + 1554784^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5217661008409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8268876085 + ... + 8268876715.

Almost surely, 2^{5217661008400} is an apocalyptic number.

5217661008400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5217661008400 is the 2284220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5217661008400

5217661008400 is an abundant number, since it is smaller than the sum of its proper divisors (7407416716439).

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

5217661008400 is an frugal number, since it uses more digits than its factorization.

5217661008400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 5217661008400 in words is "five trillion, two hundred seventeen billion, six hundred sixty-one million, eight thousand, four hundred".