5966024400 has 540 divisors, whose sum is σ = 24883657344. Its totient is φ = 1318464000.

The previous prime is 5966024381. The next prime is 5966024413. The reversal of 5966024400 is 44206695.

5966024400 is a `hidden beast` number, since 5 + 9 + 6 + 602 + 4 + 40 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 5467855 + ... + 5468945.

Almost surely, 2^5966024400 is an apocalyptic number.

5966024400 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 5966024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12441828672).

5966024400 is an abundant number, since it is smaller than the sum of its proper divisors (18917632944).

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

5966024400 is a wasteful number, since it uses less digits than its factorization.

5966024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5966024400 is about 77240.0440186306. The cubic root of 5966024400 is about 1813.6842226941.

The spelling of 5966024400 in words is "five billion, nine hundred sixty-six million, twenty-four thousand, four hundred".