51321627000 has 1024 divisors, whose sum is σ = 215115264000. Its totient is φ = 11073024000.

The previous prime is 51321626953. The next prime is 51321627023. The reversal of 51321627000 is 72612315.

It is a happy number.

51321627000 is a `hidden beast` number, since 5 + 1 + 32 + 1 + 627 + 0 + 0 + 0 = 666.

51321627000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 286712911 + ... + 286713089.

It is an arithmetic number, because the mean of its divisors is an integer number (210073500).

Almost surely, 2^51321627000 is an apocalyptic number.

51321627000 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 51321627000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107557632000).

51321627000 is an abundant number, since it is smaller than the sum of its proper divisors (163793637000).

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

51321627000 is a wasteful number, since it uses less digits than its factorization.

51321627000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 51321627000 in words is "fifty-one billion, three hundred twenty-one million, six hundred twenty-seven thousand".