5965414400 has 204 divisors, whose sum is σ = 16187792784. Its totient is φ = 2162688000.

The previous prime is 5965414373. The next prime is 5965414447. The reversal of 5965414400 is 44145695.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18022235 + ... + 18022565.

Almost surely, 2^5965414400 is an apocalyptic number.

5965414400 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 5965414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8093896392).

5965414400 is an abundant number, since it is smaller than the sum of its proper divisors (10222378384).

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

5965414400 is an equidigital number, since it uses as much as digits as its factorization.

5965414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 5965414400 is about 77236.0951887134. The cubic root of 5965414400 is about 1813.6224068175.

The spelling of 5965414400 in words is "five billion, nine hundred sixty-five million, four hundred fourteen thousand, four hundred".