51149779200 has 648 divisors, whose sum is σ = 199554019392. Its totient is φ = 12423905280.

The previous prime is 51149779193. The next prime is 51149779229. The reversal of 51149779200 is 297794115.

51149779200 is a `hidden beast` number, since 511 + 49 + 7 + 7 + 92 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 62149989 + ... + 62150811.

Almost surely, 2^51149779200 is an apocalyptic number.

51149779200 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 51149779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99777009696).

51149779200 is an abundant number, since it is smaller than the sum of its proper divisors (148404240192).

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

51149779200 is a wasteful number, since it uses less digits than its factorization.

51149779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 51149779200 in words is "fifty-one billion, one hundred forty-nine million, seven hundred seventy-nine thousand, two hundred".