5291020800 has 360 divisors, whose sum is σ = 20397421044. Its totient is φ = 1302036480.

The previous prime is 5291020799. The next prime is 5291020829. The reversal of 5291020800 is 80201925.

It can be written as a sum of positive squares in 6 ways, for example, as 1788274944 + 3502745856 = 42288^2 + 59184^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×5291020800² = 55989802212065280000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1495834 + ... + 1499366.

Almost surely, 2^5291020800 is an apocalyptic number.

5291020800 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 5291020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10198710522).

5291020800 is an abundant number, since it is smaller than the sum of its proper divisors (15106400244).

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

5291020800 is a wasteful number, since it uses less digits than its factorization.

5291020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3580 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5291020800 is about 72739.4033519660. The cubic root of 5291020800 is about 1742.5282311453.

The spelling of 5291020800 in words is "five billion, two hundred ninety-one million, twenty thousand, eight hundred".