5965660400 has 120 divisors (see below), whose sum is σ = 17343666720. Its totient is φ = 1925038080.

The previous prime is 5965660391. The next prime is 5965660403. The reversal of 5965660400 is 40665695.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5965660403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15065 + ... + 110264.

It is an arithmetic number, because the mean of its divisors is an integer number (144530556).

Almost surely, 2^5965660400 is an apocalyptic number.

5965660400 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 5965660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8671833360).

5965660400 is an abundant number, since it is smaller than the sum of its proper divisors (11378006320).

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

5965660400 is a wasteful number, since it uses less digits than its factorization.

5965660400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125371 (or 125360 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The square root of 5965660400 is about 77237.6876919551. The cubic root of 5965660400 is about 1813.6473363501.

The spelling of 5965660400 in words is "five billion, nine hundred sixty-five million, six hundred sixty thousand, four hundred".