5151414288384 has 1600 divisors, whose sum is σ = 20008086067200. Its totient is φ = 1284211998720.

The previous prime is 5151414288313. The next prime is 5151414288401. The reversal of 5151414288384 is 4838824141515.

5151414288384 is a `hidden beast` number, since 5 + 1 + 5 + 141 + 42 + 88 + 384 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5151414288384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 119800332267 + ... + 119800332309.

It is an arithmetic number, because the mean of its divisors is an integer number (12505053792).

Almost surely, 2^{5151414288384} is an apocalyptic number.

5151414288384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5151414288384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10004043033600).

5151414288384 is an abundant number, since it is smaller than the sum of its proper divisors (14856671778816).

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

5151414288384 is an frugal number, since it uses more digits than its factorization.

5151414288384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 99 counting only the distinct ones).

The product of its digits is 4915200, while the sum is 54.

The spelling of 5151414288384 in words is "five trillion, one hundred fifty-one billion, four hundred fourteen million, two hundred eighty-eight thousand, three hundred eighty-four".