253823780849408 has 864 divisors, whose sum is σ = 672315509698560. Its totient is φ = 94465695744000.

The previous prime is 253823780849407. The next prime is 253823780849423. The reversal of 253823780849408 is 804948087328352.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253823780849407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171386752028 + ... + 171386753508.

It is an arithmetic number, because the mean of its divisors is an integer number (778142951040).

Almost surely, 2^{253823780849408} is an apocalyptic number.

253823780849408 is a gapful number since it is divisible by the number (28) 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 253823780849408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336157754849280).

253823780849408 is an abundant number, since it is smaller than the sum of its proper divisors (418491728849152).

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

253823780849408 is a wasteful number, since it uses less digits than its factorization.

253823780849408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 71.

The spelling of 253823780849408 in words is "two hundred fifty-three trillion, eight hundred twenty-three billion, seven hundred eighty million, eight hundred forty-nine thousand, four hundred eight".