51964432200 has 324 divisors, whose sum is σ = 182131963065. Its totient is φ = 13787547840.

The previous prime is 51964432189. The next prime is 51964432207. The reversal of 51964432200 is 223446915.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

51964432200 is a `hidden beast` number, since 5 + 1 + 9 + 6 + 443 + 2 + 200 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50925143556 + 1039288644 = 225666^2 + 32238^2 .

It is a tau number, because it is divible by the number of its divisors (324).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=161190.

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

It is not an unprimeable number, because it can be changed into a prime (51964432207) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 261127701 + ... + 261127899.

Almost surely, 2^51964432200 is an apocalyptic number.

51964432200 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 51964432200

51964432200 is an abundant number, since it is smaller than the sum of its proper divisors (130167530865).

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

51964432200 is an frugal number, since it uses more digits than its factorization.

51964432200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 209 counting only the distinct ones).

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

The spelling of 51964432200 in words is "fifty-one billion, nine hundred sixty-four million, four hundred thirty-two thousand, two hundred".