5956614400000 has 576 divisors, whose sum is σ = 16357966148160. Its totient is φ = 2150400000000.

The previous prime is 5956614399947. The next prime is 5956614400021. The reversal of 5956614400000 is 44166595.

It is a happy number.

It is a super-2 number, since 2×5956614400000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14854399800 + ... + 14854400200.

It is an arithmetic number, because the mean of its divisors is an integer number (28399246785).

Almost surely, 2^{5956614400000} is an apocalyptic number.

5956614400000 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 5956614400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8178983074080).

5956614400000 is an abundant number, since it is smaller than the sum of its proper divisors (10401351748160).

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

5956614400000 is an equidigital number, since it uses as much as digits as its factorization.

5956614400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

Adding to 5956614400000 its reverse (44166595), we get a palindrome (5956658566595).

The spelling of 5956614400000 in words is "five trillion, nine hundred fifty-six billion, six hundred fourteen million, four hundred thousand".