5135893354800 has 840 divisors, whose sum is σ = 20020630365008. Its totient is φ = 1258032384000.

The previous prime is 5135893354799. The next prime is 5135893354829. The reversal of 5135893354800 is 84533985315.

5135893354800 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 8 + 93 + 3 + 548 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 799855590 + ... + 799862010.

Almost surely, 2^{5135893354800} is an apocalyptic number.

5135893354800 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 5135893354800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10010315182504).

5135893354800 is an abundant number, since it is smaller than the sum of its proper divisors (14884737010208).

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

5135893354800 is a wasteful number, since it uses less digits than its factorization.

5135893354800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6681 (or 6655 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 5135893354800 in words is "five trillion, one hundred thirty-five billion, eight hundred ninety-three million, three hundred fifty-four thousand, eight hundred".