5149738598400 has 1632 divisors, whose sum is σ = 21765755116800. Its totient is φ = 1180591718400.

The previous prime is 5149738598387. The next prime is 5149738598437. The reversal of 5149738598400 is 48958379415.

5149738598400 is a `hidden beast` number, since 5 + 1 + 4 + 9 + 7 + 38 + 598 + 4 + 0 + 0 = 666.

It is a super-3 number, since 3×5149738598400³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9245490922 + ... + 9245491478.

Almost surely, 2^{5149738598400} is an apocalyptic number.

5149738598400 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 5149738598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10882877558400).

5149738598400 is an abundant number, since it is smaller than the sum of its proper divisors (16616016518400).

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

5149738598400 is a wasteful number, since it uses less digits than its factorization.

5149738598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 5149738598400 in words is "five trillion, one hundred forty-nine billion, seven hundred thirty-eight million, five hundred ninety-eight thousand, four hundred".