5154085160928 has 288 divisors, whose sum is σ = 16526177871840. Its totient is φ = 1509947412480.

The previous prime is 5154085160923. The next prime is 5154085160957. The reversal of 5154085160928 is 8290615804515.

5154085160928 is a `hidden beast` number, since 5 + 1 + 5 + 4 + 0 + 8 + 5 + 1 + 609 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5154085160923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18262878 + ... + 18542946.

It is an arithmetic number, because the mean of its divisors is an integer number (57382562055).

Almost surely, 2^{5154085160928} 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 5154085160928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8263088935920).

5154085160928 is an abundant number, since it is smaller than the sum of its proper divisors (11372092710912).

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

5154085160928 is a wasteful number, since it uses less digits than its factorization.

5154085160928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280290 (or 280279 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 5154085160928 in words is "five trillion, one hundred fifty-four billion, eighty-five million, one hundred sixty thousand, nine hundred twenty-eight".