51087627768000 has 448 divisors, whose sum is σ = 169383419277696. Its totient is φ = 13567590400000.

The previous prime is 51087627767993. The next prime is 51087627768011. The reversal of 51087627768000 is 86772678015.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6515444080 + ... + 6515451920.

Almost surely, 2^{51087627768000} is an apocalyptic number.

51087627768000 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 51087627768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84691709638848).

51087627768000 is an abundant number, since it is smaller than the sum of its proper divisors (118295791509696).

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

51087627768000 is a wasteful number, since it uses less digits than its factorization.

51087627768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8949 (or 8929 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 57.

The spelling of 51087627768000 in words is "fifty-one trillion, eighty-seven billion, six hundred twenty-seven million, seven hundred sixty-eight thousand".