5251906875072 has 448 divisors, whose sum is σ = 16780951756800. Its totient is φ = 1428103249920.

The previous prime is 5251906875049. The next prime is 5251906875113. The reversal of 5251906875072 is 2705786091525.

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 63 ways as a sum of consecutive naturals, for example, 2274536254 + ... + 2274538562.

It is an arithmetic number, because the mean of its divisors is an integer number (37457481600).

Almost surely, 2^{5251906875072} is an apocalyptic number.

5251906875072 is a gapful number since it is divisible by the number (52) 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 5251906875072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8390475878400).

5251906875072 is an abundant number, since it is smaller than the sum of its proper divisors (11529044881728).

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

5251906875072 is a wasteful number, since it uses less digits than its factorization.

5251906875072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4624 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 57.

The spelling of 5251906875072 in words is "five trillion, two hundred fifty-one billion, nine hundred six million, eight hundred seventy-five thousand, seventy-two".