8353265356800 has 5616 divisors, whose sum is σ = 42483997850112. Its totient is φ = 1605264998400.

The previous prime is 8353265356789. The next prime is 8353265356819. The reversal of 8353265356800 is 86535623538.

8353265356800 is a `hidden beast` number, since 8 + 3 + 5 + 3 + 26 + 53 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5616).

It is a super-2 number, since 2×8353265356800² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 269460172785 + ... + 269460172815.

It is an arithmetic number, because the mean of its divisors is an integer number (7564814432).

Almost surely, 2^{8353265356800} is an apocalyptic number.

8353265356800 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 8353265356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21241998925056).

8353265356800 is an abundant number, since it is smaller than the sum of its proper divisors (34130732493312).

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

8353265356800 is a wasteful number, since it uses less digits than its factorization.

8353265356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 8353265356800 in words is "eight trillion, three hundred fifty-three billion, two hundred sixty-five million, three hundred fifty-six thousand, eight hundred".