253711938480 has 1920 divisors, whose sum is σ = 1163232215040. Its totient is φ = 44341862400.

The previous prime is 253711938427. The next prime is 253711938547. The reversal of 253711938480 is 84839117352.

253711938480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 1556514879 + ... + 1556515041.

It is an arithmetic number, because the mean of its divisors is an integer number (605850112).

Almost surely, 2^253711938480 is an apocalyptic number.

253711938480 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 253711938480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581616107520).

253711938480 is an abundant number, since it is smaller than the sum of its proper divisors (909520276560).

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

253711938480 is a wasteful number, since it uses less digits than its factorization.

253711938480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 253711938480 in words is "two hundred fifty-three billion, seven hundred eleven million, nine hundred thirty-eight thousand, four hundred eighty".