51033014081280 has 2880 divisors, whose sum is σ = 237990237585408. Its totient is φ = 10134071377920.

The previous prime is 51033014081249. The next prime is 51033014081281. The reversal of 51033014081280 is 8218041033015.

51033014081280 is a `hidden beast` number, since 5 + 1 + 0 + 330 + 1 + 40 + 8 + 1 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 (51033014081281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 16134368979 + ... + 16134372141.

Almost surely, 2^{51033014081280} 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 51033014081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118995118792704).

51033014081280 is an abundant number, since it is smaller than the sum of its proper divisors (186957223504128).

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

51033014081280 is a wasteful number, since it uses less digits than its factorization.

51033014081280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 51033014081280 in words is "fifty-one trillion, thirty-three billion, fourteen million, eighty-one thousand, two hundred eighty".