253011569795712 has 768 divisors, whose sum is σ = 902660955705600. Its totient is φ = 66633871269888.

The previous prime is 253011569795669. The next prime is 253011569795713. The reversal of 253011569795712 is 217597965110352.

It is a happy number.

253011569795712 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 1 + 1 + 56 + 9 + 7 + 9 + 571 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 253011569795712.

It is not an unprimeable number, because it can be changed into a prime (253011569795713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12986263923 + ... + 12986283405.

It is an arithmetic number, because the mean of its divisors is an integer number (1175339786075).

Almost surely, 2^{253011569795712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253011569795712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451330477852800).

253011569795712 is an abundant number, since it is smaller than the sum of its proper divisors (649649385909888).

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

253011569795712 is a wasteful number, since it uses less digits than its factorization.

253011569795712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20282 (or 20241 counting only the distinct ones).

The product of its (nonzero) digits is 35721000, while the sum is 63.

The spelling of 253011569795712 in words is "two hundred fifty-three trillion, eleven billion, five hundred sixty-nine million, seven hundred ninety-five thousand, seven hundred twelve".