253114180568920 has 256 divisors, whose sum is σ = 651750226490880. Its totient is φ = 87652838707200.

The previous prime is 253114180568863. The next prime is 253114180568923. The reversal of 253114180568920 is 29865081411352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253114180568923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154872739 + ... + 156498541.

It is an arithmetic number, because the mean of its divisors is an integer number (2545899322230).

Almost surely, 2^{253114180568920} is an apocalyptic number.

253114180568920 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 253114180568920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325875113245440).

253114180568920 is an abundant number, since it is smaller than the sum of its proper divisors (398636045921960).

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

253114180568920 is a wasteful number, since it uses less digits than its factorization.

253114180568920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626066 (or 1626062 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 55.

The spelling of 253114180568920 in words is "two hundred fifty-three trillion, one hundred fourteen billion, one hundred eighty million, five hundred sixty-eight thousand, nine hundred twenty".