253216522320 has 160 divisors (see below), whose sum is σ = 787526737920. Its totient is φ = 67305000960.

The previous prime is 253216522301. The next prime is 253216522369. The reversal of 253216522320 is 23225612352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170975980 + ... + 170977460.

It is an arithmetic number, because the mean of its divisors is an integer number (4922042112).

Almost surely, 2^253216522320 is an apocalyptic number.

253216522320 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 253216522320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393763368960).

253216522320 is an abundant number, since it is smaller than the sum of its proper divisors (534310215600).

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

253216522320 is a wasteful number, since it uses less digits than its factorization.

253216522320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 253216522320 in words is "two hundred fifty-three billion, two hundred sixteen million, five hundred twenty-two thousand, three hundred twenty".