253612960000 has 135 divisors (see below), whose sum is σ = 633094416031. Its totient is φ = 101364608000.

The previous prime is 253612959983. The next prime is 253612960019. The reversal of 253612960000 is 69216352.

The square root of 253612960000 is 503600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 19883256064 + 233729703936 = 141008^2 + 483456^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 201439371 + ... + 201440629.

Almost surely, 2^253612960000 is an apocalyptic number.

253612960000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

253612960000 is the 503600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253612960000

253612960000 is an abundant number, since it is smaller than the sum of its proper divisors (379481456031).

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

253612960000 is an frugal number, since it uses more digits than its factorization.

253612960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The spelling of 253612960000 in words is "two hundred fifty-three billion, six hundred twelve million, nine hundred sixty thousand".