5969030400 has 216 divisors, whose sum is σ = 21888460160. Its totient is φ = 1591695360.

The previous prime is 5969030393. The next prime is 5969030447. The reversal of 5969030400 is 40309695.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×5969030400² = 71258647832248320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155529 + ... + 190071.

Almost surely, 2^5969030400 is an apocalyptic number.

5969030400 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 5969030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10944230080).

5969030400 is an abundant number, since it is smaller than the sum of its proper divisors (15919429760).

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

5969030400 is a wasteful number, since it uses less digits than its factorization.

5969030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34578 (or 34553 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 5969030400 is about 77259.5003866838. The cubic root of 5969030400 is about 1813.9887816994.

The spelling of 5969030400 in words is "five billion, nine hundred sixty-nine million, thirty thousand, four hundred".