5190864956928 has 1280 divisors, whose sum is σ = 19032427560960. Its totient is φ = 1364809678848.

The previous prime is 5190864956917. The next prime is 5190864956933. The reversal of 5190864956928 is 8296594680915.

5190864956928 is a `hidden beast` number, since 5 + 19 + 0 + 8 + 6 + 49 + 569 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6986358925 + ... + 6986359667.

It is an arithmetic number, because the mean of its divisors is an integer number (14869084032).

Almost surely, 2^{5190864956928} 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 5190864956928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9516213780480).

5190864956928 is an abundant number, since it is smaller than the sum of its proper divisors (13841562604032).

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

5190864956928 is a wasteful number, since it uses less digits than its factorization.

5190864956928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 72.

The spelling of 5190864956928 in words is "five trillion, one hundred ninety billion, eight hundred sixty-four million, nine hundred fifty-six thousand, nine hundred twenty-eight".