253053514040000 has 560 divisors, whose sum is σ = 651390642270720. Its totient is φ = 97441512960000.

The previous prime is 253053514039967. The next prime is 253053514040003. The reversal of 253053514040000 is 40415350352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (253053514040003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 122307158966 + ... + 122307161034.

Almost surely, 2^{253053514040000} is an apocalyptic number.

253053514040000 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 253053514040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325695321135360).

253053514040000 is an abundant number, since it is smaller than the sum of its proper divisors (398337128230720).

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

253053514040000 is an equidigital number, since it uses as much as digits as its factorization.

253053514040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3186 (or 3161 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

Adding to 253053514040000 its reverse (40415350352), we get a palindrome (253093929390352).

The spelling of 253053514040000 in words is "two hundred fifty-three trillion, fifty-three billion, five hundred fourteen million, forty thousand".