253540544400 has 540 divisors, whose sum is σ = 1041531265684. Its totient is φ = 56735078400.

The previous prime is 253540544357. The next prime is 253540544437. The reversal of 253540544400 is 4445045352.

253540544400 is a `hidden beast` number, since 2 + 5 + 35 + 40 + 544 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15134904576 + 238405639824 = 123024^2 + 488268^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5640414 + ... + 5685186.

Almost surely, 2^253540544400 is an apocalyptic number.

253540544400 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 253540544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520765632842).

253540544400 is an abundant number, since it is smaller than the sum of its proper divisors (787990721284).

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

253540544400 is a wasteful number, since it uses less digits than its factorization.

253540544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44832 (or 44807 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 253540544400 its reverse (4445045352), we get a palindrome (257985589752).

The spelling of 253540544400 in words is "two hundred fifty-three billion, five hundred forty million, five hundred forty-four thousand, four hundred".