5986742400 has 288 divisors, whose sum is σ = 22156134000. Its totient is φ = 1596257280.

The previous prime is 5986742353. The next prime is 5986742407. The reversal of 5986742400 is 42476895.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (5986742407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 773751 + ... + 781449.

Almost surely, 2^5986742400 is an apocalyptic number.

5986742400 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 5986742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11078067000).

5986742400 is an abundant number, since it is smaller than the sum of its proper divisors (16169391600).

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

5986742400 is an equidigital number, since it uses as much as digits as its factorization.

5986742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7738 (or 7709 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5986742400 is about 77374.0421588532. The cubic root of 5986742400 is about 1815.7812359789.

The spelling of 5986742400 in words is "five billion, nine hundred eighty-six million, seven hundred forty-two thousand, four hundred".