5139960883200 has 2592 divisors, whose sum is σ = 22666677677280. Its totient is φ = 1139451494400.

The previous prime is 5139960883181. The next prime is 5139960883229. The reversal of 5139960883200 is 23880699315.

5139960883200 is a `hidden beast` number, since 5 + 1 + 3 + 9 + 9 + 608 + 8 + 3 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-3 number, since 3×5139960883200³ (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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 48037017547 + ... + 48037017653.

It is an arithmetic number, because the mean of its divisors is an integer number (8744860215).

Almost surely, 2^{5139960883200} is an apocalyptic number.

5139960883200 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 5139960883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11333338838640).

5139960883200 is an abundant number, since it is smaller than the sum of its proper divisors (17526716794080).

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

5139960883200 is a wasteful number, since it uses less digits than its factorization.

5139960883200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 5139960883200 in words is "five trillion, one hundred thirty-nine billion, nine hundred sixty million, eight hundred eighty-three thousand, two hundred".