8540264595456 has 756 divisors, whose sum is σ = 28224582230936. Its totient is φ = 2578616156160.

The previous prime is 8540264595337. The next prime is 8540264595461. The reversal of 8540264595456 is 6545954620458.

8540264595456 is a `hidden beast` number, since 8 + 5 + 40 + 2 + 6 + 45 + 9 + 545 + 6 = 666.

It is a super-2 number, since 2×8540264595456² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8540264595393 and 8540264595402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30831279990 + ... + 30831280266.

Almost surely, 2^{8540264595456} 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 8540264595456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112291115468).

8540264595456 is an abundant number, since it is smaller than the sum of its proper divisors (19684317635480).

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

8540264595456 is an frugal number, since it uses more digits than its factorization.

8540264595456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 207360000, while the sum is 63.

The spelling of 8540264595456 in words is "eight trillion, five hundred forty billion, two hundred sixty-four million, five hundred ninety-five thousand, four hundred fifty-six".