5141867065920 has 1120 divisors, whose sum is σ = 20564531973216. Its totient is φ = 1211115110400.

The previous prime is 5141867065913. The next prime is 5141867065921. The reversal of 5141867065920 is 295607681415.

It is a happy number.

5141867065920 is a `hidden beast` number, since 5 + 1 + 41 + 8 + 6 + 7 + 0 + 6 + 592 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1515676152384 + 3626190913536 = 1231128^2 + 1904256^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5141867065921) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 760515340 + ... + 760522100.

Almost surely, 2^{5141867065920} 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 5141867065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10282265986608).

5141867065920 is an abundant number, since it is smaller than the sum of its proper divisors (15422664907296).

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

5141867065920 is a wasteful number, since it uses less digits than its factorization.

5141867065920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6901 (or 6882 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 5141867065920 in words is "five trillion, one hundred forty-one billion, eight hundred sixty-seven million, sixty-five thousand, nine hundred twenty".