5866634030400 has 2016 divisors, whose sum is σ = 25845576277248. Its totient is φ = 1241815449600.

The previous prime is 5866634030371. The next prime is 5866634030407. The reversal of 5866634030400 is 40304366685.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5866634030407) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4594074562 + ... + 4594075838.

It is an arithmetic number, because the mean of its divisors is an integer number (12820226328).

Almost surely, 2^{5866634030400} is an apocalyptic number.

5866634030400 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 5866634030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12922788138624).

5866634030400 is an abundant number, since it is smaller than the sum of its proper divisors (19978942246848).

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

5866634030400 is a wasteful number, since it uses less digits than its factorization.

5866634030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 5866634030400 in words is "five trillion, eight hundred sixty-six billion, six hundred thirty-four million, thirty thousand, four hundred".