5311306963872 has 576 divisors, whose sum is σ = 19318603659264. Its totient is φ = 1397839887360.

The previous prime is 5311306963867. The next prime is 5311306963903. The reversal of 5311306963872 is 2783696031135.

5311306963872 is a `hidden beast` number, since 531 + 1 + 3 + 0 + 6 + 9 + 6 + 38 + 72 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 347431813 + ... + 347447099.

It is an arithmetic number, because the mean of its divisors is an integer number (33539242464).

Almost surely, 2^{5311306963872} is an apocalyptic number.

5311306963872 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 5311306963872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9659301829632).

5311306963872 is an abundant number, since it is smaller than the sum of its proper divisors (14007296695392).

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

5311306963872 is a wasteful number, since it uses less digits than its factorization.

5311306963872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15823 (or 15803 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 5311306963872 in words is "five trillion, three hundred eleven billion, three hundred six million, nine hundred sixty-three thousand, eight hundred seventy-two".