5154628012560 has 240 divisors, whose sum is σ = 18645427710000. Its totient is φ = 1268637106176.

The previous prime is 5154628012559. The next prime is 5154628012571. The reversal of 5154628012560 is 652108264515.

5154628012560 is a `hidden beast` number, since 5 + 1 + 5 + 4 + 6 + 2 + 80 + 1 + 2 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1519519705344 + 3635108307216 = 1232688^2 + 1906596^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66688816 + ... + 66766064.

It is an arithmetic number, because the mean of its divisors is an integer number (77689282125).

Almost surely, 2^{5154628012560} 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 5154628012560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9322713855000).

5154628012560 is an abundant number, since it is smaller than the sum of its proper divisors (13490799697440).

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

5154628012560 is a wasteful number, since it uses less digits than its factorization.

5154628012560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84410 (or 84401 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 5154628012560 in words is "five trillion, one hundred fifty-four billion, six hundred twenty-eight million, twelve thousand, five hundred sixty".