5405076909810 has 192 divisors, whose sum is σ = 14253141127680. Its totient is φ = 1421013473280.

The previous prime is 5405076909787. The next prime is 5405076909811. The reversal of 5405076909810 is 189096705045.

5405076909810 is a `hidden beast` number, since 5 + 40 + 507 + 6 + 9 + 0 + 98 + 1 + 0 = 666.

It is a super-2 number, since 2×5405076909810² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5405076909811) 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, 3140659750 + ... + 3140661470.

It is an arithmetic number, because the mean of its divisors is an integer number (74235110040).

Almost surely, 2^{5405076909810} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5405076909810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7126570563840).

5405076909810 is an abundant number, since it is smaller than the sum of its proper divisors (8848064217870).

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

5405076909810 is a wasteful number, since it uses less digits than its factorization.

5405076909810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 5405076909810 in words is "five trillion, four hundred five billion, seventy-six million, nine hundred nine thousand, eight hundred ten".