5966651400 has 192 divisors, whose sum is σ = 19281801600. Its totient is φ = 1524418560.

The previous prime is 5966651387. The next prime is 5966651401. The reversal of 5966651400 is 41566695.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5966651401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2382549 + ... + 2385051.

It is an arithmetic number, because the mean of its divisors is an integer number (100426050).

Almost surely, 2^5966651400 is an apocalyptic number.

5966651400 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 5966651400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9640900800).

5966651400 is an abundant number, since it is smaller than the sum of its proper divisors (13315150200).

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

5966651400 is a wasteful number, since it uses less digits than its factorization.

5966651400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 5966651400 is about 77244.1026875191. The cubic root of 5966651400 is about 1813.7477569170.

The spelling of 5966651400 in words is "five billion, nine hundred sixty-six million, six hundred fifty-one thousand, four hundred".