51264226200 has 288 divisors, whose sum is σ = 181244024640. Its totient is φ = 11886547200.

The previous prime is 51264226193. The next prime is 51264226207. The reversal of 51264226200 is 262246215.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51264226193) and next prime (51264226207).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51264226207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3484059 + ... + 3498741.

It is an arithmetic number, because the mean of its divisors is an integer number (629319530).

Almost surely, 2^51264226200 is an apocalyptic number.

51264226200 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 51264226200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90622012320).

51264226200 is an abundant number, since it is smaller than the sum of its proper divisors (129979798440).

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

51264226200 is a wasteful number, since it uses less digits than its factorization.

51264226200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14759 (or 14727 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 51264226200 in words is "fifty-one billion, two hundred sixty-four million, two hundred twenty-six thousand, two hundred".