5965412800 has 84 divisors (see below), whose sum is σ = 14698238320. Its totient is φ = 2382981120.

The previous prime is 5965412753. The next prime is 5965412807. The reversal of 5965412800 is 82145695.

It is a super-2 number, since 2×5965412800² = 71172299748807680000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5965412807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1468372 + ... + 1472428.

Almost surely, 2^5965412800 is an apocalyptic number.

5965412800 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 5965412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7349119160).

5965412800 is an abundant number, since it is smaller than the sum of its proper divisors (8732825520).

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

5965412800 is a wasteful number, since it uses less digits than its factorization.

5965412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4998 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 5965412800 is about 77236.0848308613. The cubic root of 5965412800 is about 1813.6222446719.

The spelling of 5965412800 in words is "five billion, nine hundred sixty-five million, four hundred twelve thousand, eight hundred".