5866348646400 has 624 divisors, whose sum is σ = 22079182556160. Its totient is φ = 1360294707200.

The previous prime is 5866348646399. The next prime is 5866348646407. The reversal of 5866348646400 is 46468436685.

It is a super-2 number, since 2×5866348646400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (5866348646407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77683861 + ... + 77759339.

Almost surely, 2^{5866348646400} is an apocalyptic number.

5866348646400 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 5866348646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11039591278080).

5866348646400 is an abundant number, since it is smaller than the sum of its proper divisors (16212833909760).

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

5866348646400 is a wasteful number, since it uses less digits than its factorization.

5866348646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75550 (or 75523 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 60.

The spelling of 5866348646400 in words is "five trillion, eight hundred sixty-six billion, three hundred forty-eight million, six hundred forty-six thousand, four hundred".