5311975956480 has 896 divisors, whose sum is σ = 20131744953600. Its totient is φ = 1341542891520.

The previous prime is 5311975956431. The next prime is 5311975956481. The reversal of 5311975956480 is 846595791135.

5311975956480 is a `hidden beast` number, since 5 + 3 + 1 + 19 + 7 + 59 + 564 + 8 + 0 = 666.

It is a super-2 number, since 2×5311975956480² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5311975956481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1702009320 + ... + 1702012440.

It is an arithmetic number, because the mean of its divisors is an integer number (22468465350).

Almost surely, 2^{5311975956480} 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 5311975956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10065872476800).

5311975956480 is an abundant number, since it is smaller than the sum of its proper divisors (14819768997120).

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

5311975956480 is an frugal number, since it uses more digits than its factorization.

5311975956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 63.

The spelling of 5311975956480 in words is "five trillion, three hundred eleven billion, nine hundred seventy-five million, nine hundred fifty-six thousand, four hundred eighty".