5114135190528 has 1760 divisors, whose sum is σ = 19893585761280. Its totient is φ = 1271790305280.

The previous prime is 5114135190499. The next prime is 5114135190533. The reversal of 5114135190528 is 8250915314115.

5114135190528 is a `hidden beast` number, since 5 + 1 + 1 + 4 + 1 + 35 + 1 + 90 + 528 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15450559323 + ... + 15450559653.

It is an arithmetic number, because the mean of its divisors is an integer number (11303173728).

Almost surely, 2^{5114135190528} 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 5114135190528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9946792880640).

5114135190528 is an abundant number, since it is smaller than the sum of its proper divisors (14779450570752).

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

5114135190528 is a wasteful number, since it uses less digits than its factorization.

5114135190528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 5114135190528 in words is "five trillion, one hundred fourteen billion, one hundred thirty-five million, one hundred ninety thousand, five hundred twenty-eight".