253016064000 has 1440 divisors, whose sum is σ = 1090867430016. Its totient is φ = 55207526400.

The previous prime is 253016063981. The next prime is 253016064019. The reversal of 253016064000 is 460610352.

253016064000 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 16 + 0 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (253016063981) and next prime (253016064019).

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4773887974 + ... + 4773888026.

Almost surely, 2^253016064000 is an apocalyptic number.

253016064000 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 253016064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545433715008).

253016064000 is an abundant number, since it is smaller than the sum of its proper divisors (837851366016).

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

253016064000 is an equidigital number, since it uses as much as digits as its factorization.

253016064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 253016064000 its reverse (460610352), we get a palindrome (253476674352).

The spelling of 253016064000 in words is "two hundred fifty-three billion, sixteen million, sixty-four thousand".