51404056704000 has 6336 divisors, whose sum is σ = 261382265044992. Its totient is φ = 9782083584000.

The previous prime is 51404056703977. The next prime is 51404056704001. The reversal of 51404056704000 is 40765040415.

51404056704000 is a `hidden beast` number, since 5 + 14 + 0 + 40 + 567 + 0 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51404056704001) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 404756351937 + ... + 404756352063.

Almost surely, 2^{51404056704000} is an apocalyptic number.

51404056704000 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 51404056704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130691132522496).

51404056704000 is an abundant number, since it is smaller than the sum of its proper divisors (209978208340992).

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

51404056704000 is a wasteful number, since it uses less digits than its factorization.

51404056704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 51404056704000 in words is "fifty-one trillion, four hundred four billion, fifty-six million, seven hundred four thousand".