253243173899520 has 2592 divisors, whose sum is σ = 1103034266320896. Its totient is φ = 52424027504640.

The previous prime is 253243173899509. The next prime is 253243173899579. The reversal of 253243173899520 is 25998371342352.

253243173899520 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 4 + 3 + 17 + 3 + 8 + 99 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 83772136729 + ... + 83772139751.

It is an arithmetic number, because the mean of its divisors is an integer number (425553343488).

Almost surely, 2^{253243173899520} is an apocalyptic number.

253243173899520 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 253243173899520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551517133160448).

253243173899520 is an abundant number, since it is smaller than the sum of its proper divisors (849791092421376).

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

253243173899520 is a wasteful number, since it uses less digits than its factorization.

253243173899520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 253243173899520 in words is "two hundred fifty-three trillion, two hundred forty-three billion, one hundred seventy-three million, eight hundred ninety-nine thousand, five hundred twenty".