5349186497280 has 576 divisors, whose sum is σ = 17689546506240. Its totient is φ = 1376944128000.

The previous prime is 5349186497273. The next prime is 5349186497293. The reversal of 5349186497280 is 827946819435.

It is a happy number.

It is a super-2 number, since 2×5349186497280² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4647424705 + ... + 4647425855.

It is an arithmetic number, because the mean of its divisors is an integer number (30711018240).

It is a 2-persistent number, because it is pandigital, and so is 2⋅5349186497280 = 10698372994560, but 3⋅5349186497280 = 16047559491840 is not.

Almost surely, 2^{5349186497280} 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 5349186497280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8844773253120).

5349186497280 is an abundant number, since it is smaller than the sum of its proper divisors (12340360008960).

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

5349186497280 is a wasteful number, since it uses less digits than its factorization.

5349186497280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 5349186497280 in words is "five trillion, three hundred forty-nine billion, one hundred eighty-six million, four hundred ninety-seven thousand, two hundred eighty".