253086364638240 has 288 divisors, whose sum is σ = 976190265328320. Its totient is φ = 54803663824896.

The previous prime is 253086364638227. The next prime is 253086364638257. The reversal of 253086364638240 is 42836463680352.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282723507 + ... + 283617266.

It is an arithmetic number, because the mean of its divisors is an integer number (3389549532390).

Almost surely, 2^{253086364638240} is an apocalyptic number.

253086364638240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253086364638240 is an abundant number, since it is smaller than the sum of its proper divisors (723103900690080).

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

253086364638240 is a wasteful number, since it uses less digits than its factorization.

253086364638240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566340824 (or 566340809 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 60.

The spelling of 253086364638240 in words is "two hundred fifty-three trillion, eighty-six billion, three hundred sixty-four million, six hundred thirty-eight thousand, two hundred forty".