8253366929280 has 1536 divisors, whose sum is σ = 35038376755200. Its totient is φ = 1834140672000.

The previous prime is 8253366929279. The next prime is 8253366929329. The reversal of 8253366929280 is 829296633528.

8253366929280 is a `hidden beast` number, since 8 + 2 + 5 + 336 + 6 + 9 + 292 + 8 + 0 = 666.

It is a super-3 number, since 3×8253366929280³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1007609985 + ... + 1007618175.

It is an arithmetic number, because the mean of its divisors is an integer number (22811443200).

Almost surely, 2^{8253366929280} is an apocalyptic number.

8253366929280 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 8253366929280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17519188377600).

8253366929280 is an abundant number, since it is smaller than the sum of its proper divisors (26785009825920).

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

8253366929280 is a wasteful number, since it uses less digits than its factorization.

8253366929280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8286 (or 8262 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 8253366929280 in words is "eight trillion, two hundred fifty-three billion, three hundred sixty-six million, nine hundred twenty-nine thousand, two hundred eighty".