51109678963200 has 960 divisors, whose sum is σ = 198637518385152. Its totient is φ = 11420826009600.

The previous prime is 51109678963177. The next prime is 51109678963219. The reversal of 51109678963200 is 236987690115.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×51109678963200² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4079955337 + ... + 4079967863.

Almost surely, 2^{51109678963200} is an apocalyptic number.

51109678963200 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 51109678963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99318759192576).

51109678963200 is an abundant number, since it is smaller than the sum of its proper divisors (147527839421952).

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

51109678963200 is a wasteful number, since it uses less digits than its factorization.

51109678963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13325 (or 13304 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The spelling of 51109678963200 in words is "fifty-one trillion, one hundred nine billion, six hundred seventy-eight million, nine hundred sixty-three thousand, two hundred".