5311389081600 has 1008 divisors, whose sum is σ = 21941771297472. Its totient is φ = 1202957844480.

The previous prime is 5311389081563. The next prime is 5311389081613. The reversal of 5311389081600 is 61809831135.

It is a happy number.

5311389081600 is a `hidden beast` number, since 5 + 3 + 1 + 1 + 38 + 9 + 0 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×5311389081600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 1457969379 + ... + 1457973021.

Almost surely, 2^{5311389081600} is an apocalyptic number.

5311389081600 is a gapful number since it is divisible by the number (50) 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 5311389081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10970885648736).

5311389081600 is an abundant number, since it is smaller than the sum of its proper divisors (16630382215872).

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

5311389081600 is a wasteful number, since it uses less digits than its factorization.

5311389081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 5311389081600 in words is "five trillion, three hundred eleven billion, three hundred eighty-nine million, eighty-one thousand, six hundred".