5152189980672 has 784 divisors, whose sum is σ = 18138115770432. Its totient is φ = 1431839047680.

The previous prime is 5152189980647. The next prime is 5152189980677. The reversal of 5152189980672 is 2760899812515.

5152189980672 is a `hidden beast` number, since 515 + 21 + 8 + 9 + 98 + 0 + 6 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5152189980677) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1546738047 + ... + 1546741377.

It is an arithmetic number, because the mean of its divisors is an integer number (23135351748).

Almost surely, 2^{5152189980672} 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 5152189980672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9069057885216).

5152189980672 is an abundant number, since it is smaller than the sum of its proper divisors (12985925789760).

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

5152189980672 is an frugal number, since it uses more digits than its factorization.

5152189980672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 5152189980672 in words is "five trillion, one hundred fifty-two billion, one hundred eighty-nine million, nine hundred eighty thousand, six hundred seventy-two".