5119037798400 has 864 divisors, whose sum is σ = 19186820714880. Its totient is φ = 1301862481920.

The previous prime is 5119037798311. The next prime is 5119037798431. The reversal of 5119037798400 is 48977309115.

It is a happy number.

5119037798400 is a `hidden beast` number, since 5 + 1 + 190 + 377 + 9 + 84 + 0 + 0 = 666.

It is a super-3 number, since 3×5119037798400³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5797324359 + ... + 5797325241.

It is an arithmetic number, because the mean of its divisors is an integer number (22206968420).

Almost surely, 2^{5119037798400} is an apocalyptic number.

5119037798400 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 5119037798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9593410357440).

5119037798400 is an abundant number, since it is smaller than the sum of its proper divisors (14067782916480).

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

5119037798400 is a wasteful number, since it uses less digits than its factorization.

5119037798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 5119037798400 in words is "five trillion, one hundred nineteen billion, thirty-seven million, seven hundred ninety-eight thousand, four hundred".