5385279430080 has 672 divisors, whose sum is σ = 20577599078400. Its totient is φ = 1281796669440.

The previous prime is 5385279430067. The next prime is 5385279430087. The reversal of 5385279430080 is 800349725835.

5385279430080 is a `hidden beast` number, since 5 + 3 + 8 + 527 + 9 + 4 + 30 + 0 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5385279429999 and 5385279430026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5385279430087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 390259021 + ... + 390272819.

It is an arithmetic number, because the mean of its divisors is an integer number (30621427200).

Almost surely, 2^{5385279430080} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5385279430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10288799539200).

5385279430080 is an abundant number, since it is smaller than the sum of its proper divisors (15192319648320).

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

5385279430080 is a wasteful number, since it uses less digits than its factorization.

5385279430080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14057 (or 14044 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 5385279430080 in words is "five trillion, three hundred eighty-five billion, two hundred seventy-nine million, four hundred thirty thousand, eighty".