5290332652800 has 2160 divisors, whose sum is σ = 22700185188912. Its totient is φ = 1203948748800.

The previous prime is 5290332652789. The next prime is 5290332652907. The reversal of 5290332652800 is 82562330925.

5290332652800 is a `hidden beast` number, since 5 + 2 + 90 + 3 + 32 + 6 + 528 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 4656894944256 + 633437708544 = 2157984^2 + 795888^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6988550022 + ... + 6988550778.

Almost surely, 2^{5290332652800} is an apocalyptic number.

5290332652800 is a gapful number since it is divisible by the number (50) 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 5290332652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11350092594456).

5290332652800 is an abundant number, since it is smaller than the sum of its proper divisors (17409852536112).

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

5290332652800 is a wasteful number, since it uses less digits than its factorization.

5290332652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 5290332652800 in words is "five trillion, two hundred ninety billion, three hundred thirty-two million, six hundred fifty-two thousand, eight hundred".