5149893590400 has 384 divisors, whose sum is σ = 18897185815200. Its totient is φ = 1223952629760.

The previous prime is 5149893590357. The next prime is 5149893590449. The reversal of 5149893590400 is 40953989415.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 2907732 + ... + 4330668.

Almost surely, 2^{5149893590400} is an apocalyptic number.

5149893590400 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 5149893590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9448592907600).

5149893590400 is an abundant number, since it is smaller than the sum of its proper divisors (13747292224800).

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

5149893590400 is a wasteful number, since it uses less digits than its factorization.

5149893590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423006 (or 1422989 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 57.

The spelling of 5149893590400 in words is "five trillion, one hundred forty-nine billion, eight hundred ninety-three million, five hundred ninety thousand, four hundred".