5135425104000 has 256 divisors, whose sum is σ = 17038882748160. Its totient is φ = 1368244224000.

The previous prime is 5135425103993. The next prime is 5135425104077. The reversal of 5135425104000 is 4015245315.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55297605 + ... + 55390395.

It is an arithmetic number, because the mean of its divisors is an integer number (66558135735).

Almost surely, 2^{5135425104000} is an apocalyptic number.

5135425104000 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 5135425104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8519441374080).

5135425104000 is an abundant number, since it is smaller than the sum of its proper divisors (11903457644160).

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

5135425104000 is a wasteful number, since it uses less digits than its factorization.

5135425104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93976 (or 93954 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 5135425104000 in words is "five trillion, one hundred thirty-five billion, four hundred twenty-five million, one hundred four thousand".