51678144000 has 720 divisors, whose sum is σ = 216642625056. Its totient is φ = 11805696000.

The previous prime is 51678143963. The next prime is 51678144071. The reversal of 51678144000 is 44187615.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 28223085 + ... + 28224915.

Almost surely, 2^51678144000 is an apocalyptic number.

51678144000 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 51678144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108321312528).

51678144000 is an abundant number, since it is smaller than the sum of its proper divisors (164964481056).

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

51678144000 is a wasteful number, since it uses less digits than its factorization.

51678144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 51678144000 in words is "fifty-one billion, six hundred seventy-eight million, one hundred forty-four thousand".