51678799200 has 576 divisors, whose sum is σ = 224860608000. Its totient is φ = 11189975040.

The previous prime is 51678799141. The next prime is 51678799201. The reversal of 51678799200 is 299787615.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51678799201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2863806 + ... + 2881794.

It is an arithmetic number, because the mean of its divisors is an integer number (390383000).

Almost surely, 2^51678799200 is an apocalyptic number.

51678799200 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 51678799200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112430304000).

51678799200 is an abundant number, since it is smaller than the sum of its proper divisors (173181808800).

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

51678799200 is a wasteful number, since it uses less digits than its factorization.

51678799200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18044 (or 18025 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 51678799200 in words is "fifty-one billion, six hundred seventy-eight million, seven hundred ninety-nine thousand, two hundred".