5148554103200 has 288 divisors, whose sum is σ = 13427032614912. Its totient is φ = 1923609600000.

The previous prime is 5148554103191. The next prime is 5148554103221. The reversal of 5148554103200 is 23014558415.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135644225 + ... + 135682175.

It is an arithmetic number, because the mean of its divisors is an integer number (46621641024).

Almost surely, 2^{5148554103200} is an apocalyptic number.

5148554103200 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 5148554103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6713516307456).

5148554103200 is an abundant number, since it is smaller than the sum of its proper divisors (8278478511712).

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

5148554103200 is a wasteful number, since it uses less digits than its factorization.

5148554103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38168 (or 38155 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 38.

The spelling of 5148554103200 in words is "five trillion, one hundred forty-eight billion, five hundred fifty-four million, one hundred three thousand, two hundred".