51078314327040 has 2816 divisors, whose sum is σ = 258071883632640. Its totient is φ = 9220506255360.

The previous prime is 51078314327009. The next prime is 51078314327099. The reversal of 51078314327040 is 4072341387015.

51078314327040 is a `hidden beast` number, since 5 + 1 + 0 + 7 + 8 + 314 + 327 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2352419224 + ... + 2352440936.

It is an arithmetic number, because the mean of its divisors is an integer number (91644845040).

Almost surely, 2^{51078314327040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51078314327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129035941816320).

51078314327040 is an abundant number, since it is smaller than the sum of its proper divisors (206993569305600).

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

51078314327040 is a wasteful number, since it uses less digits than its factorization.

51078314327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21795 (or 21771 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 51078314327040 in words is "fifty-one trillion, seventy-eight billion, three hundred fourteen million, three hundred twenty-seven thousand, forty".