51039331200 has 1728 divisors, whose sum is σ = 235246349520. Its totient is φ = 10749542400.

The previous prime is 51039331163. The next prime is 51039331207. The reversal of 51039331200 is 213393015.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51039331207) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3002313592 + ... + 3002313608.

Almost surely, 2^51039331200 is an apocalyptic number.

51039331200 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 51039331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117623174760).

51039331200 is an abundant number, since it is smaller than the sum of its proper divisors (184207018320).

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

51039331200 is a wasteful number, since it uses less digits than its factorization.

51039331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The spelling of 51039331200 in words is "fifty-one billion, thirty-nine million, three hundred thirty-one thousand, two hundred".