253851845829120 has 2880 divisors, whose sum is σ = 1183459060308096. Its totient is φ = 49554794741760.

The previous prime is 253851845829077. The next prime is 253851845829121. The reversal of 253851845829120 is 21928548158352.

253851845829120 is a `hidden beast` number, since 2 + 5 + 3 + 8 + 51 + 8 + 458 + 2 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (253851845829121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 213860021167 + ... + 213860022353.

Almost surely, 2^{253851845829120} is an apocalyptic number.

253851845829120 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 253851845829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591729530154048).

253851845829120 is an abundant number, since it is smaller than the sum of its proper divisors (929607214478976).

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

253851845829120 is a wasteful number, since it uses less digits than its factorization.

253851845829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 63.

The spelling of 253851845829120 in words is "two hundred fifty-three trillion, eight hundred fifty-one billion, eight hundred forty-five million, eight hundred twenty-nine thousand, one hundred twenty".