51196275200 has 960 divisors, whose sum is σ = 169880198400. Its totient is φ = 14863564800.

The previous prime is 51196275187. The next prime is 51196275209. The reversal of 51196275200 is 257269115.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51196275209) 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, 839283170 + ... + 839283230.

It is an arithmetic number, because the mean of its divisors is an integer number (176958540).

Almost surely, 2^51196275200 is an apocalyptic number.

51196275200 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 51196275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84940099200).

51196275200 is an abundant number, since it is smaller than the sum of its proper divisors (118683923200).

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

51196275200 is a wasteful number, since it uses less digits than its factorization.

51196275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 38.

The spelling of 51196275200 in words is "fifty-one billion, one hundred ninety-six million, two hundred seventy-five thousand, two hundred".