253460699808 has 384 divisors, whose sum is σ = 743250816000. Its totient is φ = 75316469760.

The previous prime is 253460699801. The next prime is 253460699917. The reversal of 253460699808 is 808996064352.

253460699808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×253460699808² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (253460699801) 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 63 ways as a sum of consecutive naturals, for example, 384613783 + ... + 384614441.

It is an arithmetic number, because the mean of its divisors is an integer number (1935549000).

Almost surely, 2^253460699808 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 253460699808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371625408000).

253460699808 is an abundant number, since it is smaller than the sum of its proper divisors (489790116192).

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

253460699808 is a wasteful number, since it uses less digits than its factorization.

253460699808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 253460699808 in words is "two hundred fifty-three billion, four hundred sixty million, six hundred ninety-nine thousand, eight hundred eight".