51109315200 has 768 divisors, whose sum is σ = 193944432000. Its totient is φ = 13302558720.

The previous prime is 51109315171. The next prime is 51109315207. The reversal of 51109315200 is 251390115.

51109315200 is a `hidden beast` number, since 5 + 1 + 109 + 31 + 520 + 0 = 666.

It is a super-2 number, since 2×51109315200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51109315207) 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, 468892746 + ... + 468892854.

Almost surely, 2^51109315200 is an apocalyptic number.

51109315200 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 51109315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96972216000).

51109315200 is an abundant number, since it is smaller than the sum of its proper divisors (142835116800).

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

51109315200 is an equidigital number, since it uses as much as digits as its factorization.

51109315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The spelling of 51109315200 in words is "fifty-one billion, one hundred nine million, three hundred fifteen thousand, two hundred".