5109435574400 has 1152 divisors, whose sum is σ = 14649358809600. Its totient is φ = 1754021068800.

The previous prime is 5109435574387. The next prime is 5109435574421. The reversal of 5109435574400 is 44755349015.

It is a happy number.

It is a super-2 number, since 2×5109435574400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

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, 96404444774 + ... + 96404444826.

It is an arithmetic number, because the mean of its divisors is an integer number (12716457300).

Almost surely, 2^{5109435574400} is an apocalyptic number.

5109435574400 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 5109435574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7324679404800).

5109435574400 is an abundant number, since it is smaller than the sum of its proper divisors (9539923235200).

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

5109435574400 is a wasteful number, since it uses less digits than its factorization.

5109435574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 47.

The spelling of 5109435574400 in words is "five trillion, one hundred nine billion, four hundred thirty-five million, five hundred seventy-four thousand, four hundred".