253676505676352 has 84 divisors (see below), whose sum is σ = 557535982978128. Its totient is φ = 114427292179200.

The previous prime is 253676505676339. The next prime is 253676505676453.

It is a happy number.

253676505676352 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124015358 + ... + 126044285.

It is an arithmetic number, because the mean of its divisors is an integer number (6637333130692).

Almost surely, 2^{253676505676352} is an apocalyptic number.

253676505676352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

253676505676352 is an abundant number, since it is smaller than the sum of its proper divisors (303859477301776).

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

253676505676352 is a wasteful number, since it uses less digits than its factorization.

253676505676352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250059808 (or 250059787 counting only the distinct ones).

The product of its (nonzero) digits is 1428840000, while the sum is 68.

The spelling of 253676505676352 in words is "two hundred fifty-three trillion, six hundred seventy-six billion, five hundred five million, six hundred seventy-six thousand, three hundred fifty-two".