253716571428672 has 336 divisors, whose sum is σ = 743900476737600. Its totient is φ = 76257264230400.

The previous prime is 253716571428601. The next prime is 253716571428797. The reversal of 253716571428672 is 276824175617352.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1617588972 + ... + 1617745812.

It is an arithmetic number, because the mean of its divisors is an integer number (2213989514100).

Almost surely, 2^{253716571428672} is an apocalyptic number.

253716571428672 is a gapful number since it is divisible by the number (22) 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 253716571428672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371950238368800).

253716571428672 is an abundant number, since it is smaller than the sum of its proper divisors (490183905308928).

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

253716571428672 is a wasteful number, since it uses less digits than its factorization.

253716571428672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157446 (or 157425 counting only the distinct ones).

The product of its digits is 237081600, while the sum is 66.

The spelling of 253716571428672 in words is "two hundred fifty-three trillion, seven hundred sixteen billion, five hundred seventy-one million, four hundred twenty-eight thousand, six hundred seventy-two".