8254464725520 has 1680 divisors, whose sum is σ = 33332761222992. Its totient is φ = 1888336281600.

The previous prime is 8254464725497. The next prime is 8254464725531. The reversal of 8254464725520 is 255274644528.

8254464725520 is a `hidden beast` number, since 8 + 2 + 5 + 4 + 46 + 4 + 72 + 5 + 520 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 1506294745344 + 6748169980176 = 1227312^2 + 2597724^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 22129932054 + ... + 22129932426.

Almost surely, 2^{8254464725520} is an apocalyptic number.

8254464725520 is a gapful number since it is divisible by the number (80) 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 8254464725520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16666380611496).

8254464725520 is an abundant number, since it is smaller than the sum of its proper divisors (25078296497472).

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

8254464725520 is a wasteful number, since it uses less digits than its factorization.

8254464725520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 21504000, while the sum is 54.

The spelling of 8254464725520 in words is "eight trillion, two hundred fifty-four billion, four hundred sixty-four million, seven hundred twenty-five thousand, five hundred twenty".