3253693060800 has 3360 divisors, whose sum is σ = 15809077043200. Its totient is φ = 645241282560.

The previous prime is 3253693060747. The next prime is 3253693060823. The reversal of 3253693060800 is 80603963523.

3253693060800 is a `hidden beast` number, since 3 + 2 + 5 + 3 + 6 + 9 + 30 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-3 number, since 3×3253693060800³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 25619630337 + ... + 25619630463.

Almost surely, 2^{3253693060800} is an apocalyptic number.

3253693060800 is a gapful number since it is divisible by the number (30) 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 3253693060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7904538521600).

3253693060800 is an abundant number, since it is smaller than the sum of its proper divisors (12555383982400).

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

3253693060800 is a wasteful number, since it uses less digits than its factorization.

3253693060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 3253693060800 in words is "three trillion, two hundred fifty-three billion, six hundred ninety-three million, sixty thousand, eight hundred".