253222283520 has 432 divisors, whose sum is σ = 925674946560. Its totient is φ = 63806324736.

The previous prime is 253222283513. The next prime is 253222283557. The reversal of 253222283520 is 25382222352.

253222283520 is a `hidden beast` number, since 2 + 5 + 32 + 2 + 22 + 83 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 15693697 + ... + 15709823.

It is an arithmetic number, because the mean of its divisors is an integer number (2142766080).

Almost surely, 2^253222283520 is an apocalyptic number.

253222283520 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 253222283520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462837473280).

253222283520 is an abundant number, since it is smaller than the sum of its proper divisors (672452663040).

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

253222283520 is a wasteful number, since it uses less digits than its factorization.

253222283520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16230 (or 16213 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 253222283520 in words is "two hundred fifty-three billion, two hundred twenty-two million, two hundred eighty-three thousand, five hundred twenty".