5189356212480 has 864 divisors, whose sum is σ = 20514788880768. Its totient is φ = 1245487104000.

The previous prime is 5189356212461. The next prime is 5189356212487. The reversal of 5189356212480 is 842126539815.

5189356212480 is a `hidden beast` number, since 5 + 1 + 8 + 9 + 3 + 5 + 621 + 2 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (5189356212487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 345557932 + ... + 345572948.

It is an arithmetic number, because the mean of its divisors is an integer number (23743968612).

Almost surely, 2^{5189356212480} 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 5189356212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10257394440384).

5189356212480 is an abundant number, since it is smaller than the sum of its proper divisors (15325432668288).

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

5189356212480 is a wasteful number, since it uses less digits than its factorization.

5189356212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15165 (or 15139 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 5189356212480 in words is "five trillion, one hundred eighty-nine billion, three hundred fifty-six million, two hundred twelve thousand, four hundred eighty".