5013590400000 has 1584 divisors, whose sum is σ = 22281959988288. Its totient is φ = 1057259520000.

The previous prime is 5013590399941. The next prime is 5013590400017. The reversal of 5013590400000 is 40953105.

5013590400000 is a `hidden beast` number, since 501 + 35 + 90 + 40 + 0 + 0 + 0 + 0 = 666.

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, 2620799044 + ... + 2620800956.

It is an arithmetic number, because the mean of its divisors is an integer number (14066893932).

Almost surely, 2^{5013590400000} is an apocalyptic number.

5013590400000 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 5013590400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11140979994144).

5013590400000 is an abundant number, since it is smaller than the sum of its proper divisors (17268369588288).

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

5013590400000 is a wasteful number, since it uses less digits than its factorization.

5013590400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 5013590400000 in words is "five trillion, thirteen billion, five hundred ninety million, four hundred thousand".