51084525723504 has 1600 divisors, whose sum is σ = 180489556262400. Its totient is φ = 12345616539648.

The previous prime is 51084525723503. The next prime is 51084525723521. The reversal of 51084525723504 is 40532752548015.

It is a happy number.

51084525723504 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51084525723503) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 69126556767 + ... + 69126557505.

It is an arithmetic number, because the mean of its divisors is an integer number (112805972664).

Almost surely, 2^{51084525723504} 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 51084525723504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90244778131200).

51084525723504 is an abundant number, since it is smaller than the sum of its proper divisors (129405030538896).

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

51084525723504 is a wasteful number, since it uses less digits than its factorization.

51084525723504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 51.

The spelling of 51084525723504 in words is "fifty-one trillion, eighty-four billion, five hundred twenty-five million, seven hundred twenty-three thousand, five hundred four".