5154078084960 has 1536 divisors, whose sum is σ = 20507887411200. Its totient is φ = 1084885401600.

The previous prime is 5154078084941. The next prime is 5154078085003. The reversal of 5154078084960 is 694808704515.

It is a self number, because there is not a number n which added to its sum of digits gives 5154078084960.

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, 12242465550 + ... + 12242465970.

It is an arithmetic number, because the mean of its divisors is an integer number (13351489200).

Almost surely, 2^{5154078084960} 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 5154078084960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10253943705600).

5154078084960 is an abundant number, since it is smaller than the sum of its proper divisors (15353809326240).

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

5154078084960 is a wasteful number, since it uses less digits than its factorization.

5154078084960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 57.

The spelling of 5154078084960 in words is "five trillion, one hundred fifty-four billion, seventy-eight million, eighty-four thousand, nine hundred sixty".