5311490899968 has 1200 divisors, whose sum is σ = 18202841276928. Its totient is φ = 1541564006400.

The previous prime is 5311490899961. The next prime is 5311490899973. The reversal of 5311490899968 is 8699980941135.

5311490899968 is a `hidden beast` number, since 5 + 311 + 4 + 90 + 89 + 99 + 68 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5311490899896 and 5311490899905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5311490899961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54757638096 + ... + 54757638192.

Almost surely, 2^{5311490899968} 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 5311490899968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9101420638464).

5311490899968 is an abundant number, since it is smaller than the sum of its proper divisors (12891350376960).

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

5311490899968 is an frugal number, since it uses more digits than its factorization.

5311490899968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 72.

The spelling of 5311490899968 in words is "five trillion, three hundred eleven billion, four hundred ninety million, eight hundred ninety-nine thousand, nine hundred sixty-eight".