8253705600 has 480 divisors, whose sum is σ = 34816782000. Its totient is φ = 1886146560.

The previous prime is 8253705571. The next prime is 8253705637. The reversal of 8253705600 is 65073528.

8253705600 is a `hidden beast` number, since 8 + 25 + 3 + 70 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×8253705600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1812126 + ... + 1816674.

Almost surely, 2^8253705600 is an apocalyptic number.

8253705600 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 8253705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17408391000).

8253705600 is an abundant number, since it is smaller than the sum of its proper divisors (26563076400).

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

8253705600 is a wasteful number, since it uses less digits than its factorization.

8253705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4592 (or 4566 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 8253705600 is about 90849.9069894956. The cubic root of 8253705600 is about 2020.9224947045.

The spelling of 8253705600 in words is "eight billion, two hundred fifty-three million, seven hundred five thousand, six hundred".