5348141929800 has 288 divisors, whose sum is σ = 18909741708000. Its totient is φ = 1350852940800.

The previous prime is 5348141929733. The next prime is 5348141929807. The reversal of 5348141929800 is 89291418435.

It is a happy number.

5348141929800 is a `hidden beast` number, since 5 + 348 + 1 + 4 + 1 + 9 + 298 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (5348141929807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 233950771 + ... + 233973629.

It is an arithmetic number, because the mean of its divisors is an integer number (65658825375).

Almost surely, 2^{5348141929800} is an apocalyptic number.

5348141929800 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 5348141929800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9454870854000).

5348141929800 is an abundant number, since it is smaller than the sum of its proper divisors (13561599778200).

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

5348141929800 is a wasteful number, since it uses less digits than its factorization.

5348141929800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29741 (or 29729 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 5348141929800 in words is "five trillion, three hundred forty-eight billion, one hundred forty-one million, nine hundred twenty-nine thousand, eight hundred".