51266779200 has 2016 divisors, whose sum is σ = 247316670720. Its totient is φ = 10346434560.

The previous prime is 51266779163. The next prime is 51266779247. The reversal of 51266779200 is 297766215.

51266779200 is a `hidden beast` number, since 512 + 6 + 67 + 79 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2228990389 + ... + 2228990411.

It is an arithmetic number, because the mean of its divisors is an integer number (122676920).

Almost surely, 2^51266779200 is an apocalyptic number.

51266779200 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 51266779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123658335360).

51266779200 is an abundant number, since it is smaller than the sum of its proper divisors (196049891520).

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

51266779200 is a wasteful number, since it uses less digits than its factorization.

51266779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 51266779200 in words is "fifty-one billion, two hundred sixty-six million, seven hundred seventy-nine thousand, two hundred".