5144779111500 has 1152 divisors, whose sum is σ = 20103912751104. Its totient is φ = 1123826400000.

The previous prime is 5144779111499. The next prime is 5144779111529. The reversal of 5144779111500 is 51119774415.

5144779111500 is a `hidden beast` number, since 5 + 1 + 4 + 47 + 7 + 91 + 11 + 500 = 666.

It is a super-3 number, since 3×5144779111500³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 383 ways as a sum of consecutive naturals, for example, 2188335325 + ... + 2188337675.

It is an arithmetic number, because the mean of its divisors is an integer number (17451313152).

Almost surely, 2^{5144779111500} is an apocalyptic number.

5144779111500 is a gapful number since it is divisible by the number (50) 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 5144779111500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10051956375552).

5144779111500 is an abundant number, since it is smaller than the sum of its proper divisors (14959133639604).

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

5144779111500 is a wasteful number, since it uses less digits than its factorization.

5144779111500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The spelling of 5144779111500 in words is "five trillion, one hundred forty-four billion, seven hundred seventy-nine million, one hundred eleven thousand, five hundred".