5102436777984 has 1152 divisors, whose sum is σ = 18690713594280. Its totient is φ = 1329397235712.

The previous prime is 5102436777973. The next prime is 5102436778027. The reversal of 5102436777984 is 4897776342015.

5102436777984 is a `hidden beast` number, since 5 + 102 + 436 + 7 + 7 + 7 + 98 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4118626713600 + 983810064384 = 2029440^2 + 991872^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×5102436777984² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29493854122 + ... + 29493854294.

It is a 2-persistent number, because it is pandigital, and so is 2⋅5102436777984 = 10204873555968, but 3⋅5102436777984 = 15307310333952 is not.

Almost surely, 2^{5102436777984} 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 5102436777984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9345356797140).

5102436777984 is an abundant number, since it is smaller than the sum of its proper divisors (13588276816296).

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

5102436777984 is a wasteful number, since it uses less digits than its factorization.

5102436777984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 5102436777984 in words is "five trillion, one hundred two billion, four hundred thirty-six million, seven hundred seventy-seven thousand, nine hundred eighty-four".