253659480275520 has 1120 divisors, whose sum is σ = 1050858041308416. Its totient is φ = 57875826032640.

The previous prime is 253659480275507. The next prime is 253659480275527. The reversal of 253659480275520 is 25572084956352.

It is a happy number.

253659480275520 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 5 + 9 + 4 + 80 + 27 + 5 + 520 = 666.

It is a super-2 number, since 2×253659480275520² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (253659480275527) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 586275589 + ... + 586708091.

Almost surely, 2^{253659480275520} is an apocalyptic number.

253659480275520 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 253659480275520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525429020654208).

253659480275520 is an abundant number, since it is smaller than the sum of its proper divisors (797198561032896).

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

253659480275520 is a wasteful number, since it uses less digits than its factorization.

253659480275520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432582 (or 432541 counting only the distinct ones).

The product of its (nonzero) digits is 181440000, while the sum is 63.

The spelling of 253659480275520 in words is "two hundred fifty-three trillion, six hundred fifty-nine billion, four hundred eighty million, two hundred seventy-five thousand, five hundred twenty".