5214786759072 has 1152 divisors, whose sum is σ = 17736088043520. Its totient is φ = 1487566080000.

The previous prime is 5214786759071. The next prime is 5214786759089. The reversal of 5214786759072 is 2709576874125.

5214786759072 is a `hidden beast` number, since 5 + 2 + 1 + 478 + 6 + 7 + 5 + 90 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (5214786759071) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30143275978 + ... + 30143276150.

It is an arithmetic number, because the mean of its divisors is an integer number (15395909760).

Almost surely, 2^{5214786759072} 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 5214786759072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8868044021760).

5214786759072 is an abundant number, since it is smaller than the sum of its proper divisors (12521301284448).

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

5214786759072 is a wasteful number, since it uses less digits than its factorization.

5214786759072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 5214786759072 in words is "five trillion, two hundred fourteen billion, seven hundred eighty-six million, seven hundred fifty-nine thousand, seventy-two".