253224857733120 has 2688 divisors, whose sum is σ = 1147400712057600. Its totient is φ = 52179138772992.

The previous prime is 253224857733119. The next prime is 253224857733143. The reversal of 253224857733120 is 21337758422352.

253224857733120 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 2 + 48 + 577 + 3 + 3 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 29210384146 + ... + 29210392814.

It is an arithmetic number, because the mean of its divisors is an integer number (426860383950).

Almost surely, 2^{253224857733120} is an apocalyptic number.

253224857733120 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 253224857733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573700356028800).

253224857733120 is an abundant number, since it is smaller than the sum of its proper divisors (894175854324480).

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

253224857733120 is an equidigital number, since it uses as much as digits as its factorization.

253224857733120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8777 (or 8742 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 253224857733120 in words is "two hundred fifty-three trillion, two hundred twenty-four billion, eight hundred fifty-seven million, seven hundred thirty-three thousand, one hundred twenty".