253666168704000 has 528 divisors, whose sum is σ = 984420327028320. Its totient is φ = 62440899379200.

The previous prime is 253666168703971. The next prime is 253666168704001. The reversal of 253666168704000 is 407861666352.

It is not an unprimeable number, because it can be changed into a prime (253666168704001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6506911 + ... + 23445089.

Almost surely, 2^{253666168704000} is an apocalyptic number.

253666168704000 is a gapful number since it is divisible by the number (20) 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 253666168704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492210163514160).

253666168704000 is an abundant number, since it is smaller than the sum of its proper divisors (730754158324320).

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

253666168704000 is a wasteful number, since it uses less digits than its factorization.

253666168704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16938233 (or 16938202 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 253666168704000 in words is "two hundred fifty-three trillion, six hundred sixty-six billion, one hundred sixty-eight million, seven hundred four thousand".