253541721600 has 720 divisors, whose sum is σ = 932532689088. Its totient is φ = 65764638720.

The previous prime is 253541721593. The next prime is 253541721613. The reversal of 253541721600 is 6127145352.

253541721600 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 41 + 7 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 825868647 + ... + 825868953.

Almost surely, 2^253541721600 is an apocalyptic number.

253541721600 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 253541721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466266344544).

253541721600 is an abundant number, since it is smaller than the sum of its proper divisors (678990967488).

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

253541721600 is a wasteful number, since it uses less digits than its factorization.

253541721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 253541721600 its reverse (6127145352), we get a palindrome (259668866952).

The spelling of 253541721600 in words is "two hundred fifty-three billion, five hundred forty-one million, seven hundred twenty-one thousand, six hundred".