5808253651200 has 5832 divisors, whose sum is σ = 30313805479776. Its totient is φ = 1086898176000.

The previous prime is 5808253651181. The next prime is 5808253651219. The reversal of 5808253651200 is 21563528085.

5808253651200 is a `hidden beast` number, since 5 + 8 + 0 + 82 + 5 + 365 + 1 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (5808253651181) and next prime (5808253651219).

It is a super-2 number, since 2×5808253651200² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 141664723180 + ... + 141664723220.

Almost surely, 2^{5808253651200} is an apocalyptic number.

5808253651200 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 5808253651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15156902739888).

5808253651200 is an abundant number, since it is smaller than the sum of its proper divisors (24505551828576).

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

5808253651200 is a wasteful number, since it uses less digits than its factorization.

5808253651200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 5808253651200 in words is "five trillion, eight hundred eight billion, two hundred fifty-three million, six hundred fifty-one thousand, two hundred".