5290736025600 has 459 divisors, whose sum is σ = 18984140533813. Its totient is φ = 1408507576320.

The previous prime is 5290736025583. The next prime is 5290736025647. The reversal of 5290736025600 is 65206370925.

The square root of 5290736025600 is 2300160.

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

5290736025600 is a `hidden beast` number, since 5 + 2 + 9 + 0 + 7 + 36 + 0 + 2 + 5 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1904664969216 + 3386071056384 = 1380096^2 + 1840128^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 8832614101 + ... + 8832614699.

Almost surely, 2^{5290736025600} is an apocalyptic number.

5290736025600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5290736025600 is the 2300160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5290736025600

5290736025600 is an abundant number, since it is smaller than the sum of its proper divisors (13693404508213).

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

5290736025600 is an frugal number, since it uses more digits than its factorization.

5290736025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 5290736025600 in words is "five trillion, two hundred ninety billion, seven hundred thirty-six million, twenty-five thousand, six hundred".