5148901958200 has 576 divisors, whose sum is σ = 16519537681920. Its totient is φ = 1466978688000.

The previous prime is 5148901958191. The next prime is 5148901958219. The reversal of 5148901958200 is 28591098415.

It is a happy number.

It is a super-2 number, since 2×5148901958200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 144326365 + ... + 144362035.

It is an arithmetic number, because the mean of its divisors is an integer number (28679752920).

Almost surely, 2^{5148901958200} is an apocalyptic number.

5148901958200 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 5148901958200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8259768840960).

5148901958200 is an abundant number, since it is smaller than the sum of its proper divisors (11370635723720).

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

5148901958200 is a wasteful number, since it uses less digits than its factorization.

5148901958200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35828 (or 35812 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 52.

The spelling of 5148901958200 in words is "five trillion, one hundred forty-eight billion, nine hundred one million, nine hundred fifty-eight thousand, two hundred".