51458611200 has 576 divisors, whose sum is σ = 178998543360. Its totient is φ = 13025280000.

The previous prime is 51458611199. The next prime is 51458611207. The reversal of 51458611200 is 211685415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51458611207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 480921547 + ... + 480921653.

It is an arithmetic number, because the mean of its divisors is an integer number (310761360).

Almost surely, 2^51458611200 is an apocalyptic number.

51458611200 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 51458611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89499271680).

51458611200 is an abundant number, since it is smaller than the sum of its proper divisors (127539932160).

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

51458611200 is a wasteful number, since it uses less digits than its factorization.

51458611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The spelling of 51458611200 in words is "fifty-one billion, four hundred fifty-eight million, six hundred eleven thousand, two hundred".