253788733440 has 1440 divisors, whose sum is σ = 1064859344640. Its totient is φ = 57330892800.

The previous prime is 253788733399. The next prime is 253788733441. The reversal of 253788733440 is 44337887352.

253788733440 is a `hidden beast` number, since 2 + 53 + 7 + 88 + 73 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (253788733441) 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, 4160471010 + ... + 4160471070.

It is an arithmetic number, because the mean of its divisors is an integer number (739485656).

Almost surely, 2^253788733440 is an apocalyptic number.

253788733440 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 253788733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532429672320).

253788733440 is an abundant number, since it is smaller than the sum of its proper divisors (811070611200).

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

253788733440 is an equidigital number, since it uses as much as digits as its factorization.

253788733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 253788733440 in words is "two hundred fifty-three billion, seven hundred eighty-eight million, seven hundred thirty-three thousand, four hundred forty".