253424527470720 has 384 divisors, whose sum is σ = 918646630387200. Its totient is φ = 64291402874880.

The previous prime is 253424527470589. The next prime is 253424527470727. The reversal of 253424527470720 is 27074725424352.

253424527470720 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 2 + 4 + 527 + 47 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×253424527470720² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (253424527470727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1492657 + ... + 22562736.

It is an arithmetic number, because the mean of its divisors is an integer number (2392308933300).

Almost surely, 2^{253424527470720} is an apocalyptic number.

253424527470720 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 253424527470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459323315193600).

253424527470720 is an abundant number, since it is smaller than the sum of its proper divisors (665222102916480).

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

253424527470720 is a wasteful number, since it uses less digits than its factorization.

253424527470720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24055508 (or 24055493 counting only the distinct ones).

The product of its (nonzero) digits is 26342400, while the sum is 54.

The spelling of 253424527470720 in words is "two hundred fifty-three trillion, four hundred twenty-four billion, five hundred twenty-seven million, four hundred seventy thousand, seven hundred twenty".