253485741600 has 2592 divisors, whose sum is σ = 1225350322560. Its totient is φ = 50582568960.

The previous prime is 253485741547. The next prime is 253485741601. The reversal of 253485741600 is 6147584352.

253485741600 is a `hidden beast` number, since 2 + 5 + 3 + 485 + 7 + 4 + 160 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253485741601) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2848154356 + ... + 2848154444.

It is an arithmetic number, because the mean of its divisors is an integer number (472743180).

Almost surely, 2^253485741600 is an apocalyptic number.

253485741600 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 253485741600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612675161280).

253485741600 is an abundant number, since it is smaller than the sum of its proper divisors (971864580960).

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

253485741600 is a wasteful number, since it uses less digits than its factorization.

253485741600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 253485741600 in words is "two hundred fifty-three billion, four hundred eighty-five million, seven hundred forty-one thousand, six hundred".