253883571601920 has 1280 divisors, whose sum is σ = 911649810677760. Its totient is φ = 59851859558400.

The previous prime is 253883571601853. The next prime is 253883571601921. The reversal of 253883571601920 is 29106175388352.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (253883571601921) 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 127 ways as a sum of consecutive naturals, for example, 278686686265 + ... + 278686687175.

It is an arithmetic number, because the mean of its divisors is an integer number (712226414592).

Almost surely, 2^{253883571601920} is an apocalyptic number.

253883571601920 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 253883571601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455824905338880).

253883571601920 is an abundant number, since it is smaller than the sum of its proper divisors (657766239075840).

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

253883571601920 is a wasteful number, since it uses less digits than its factorization.

253883571601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 60.

The spelling of 253883571601920 in words is "two hundred fifty-three trillion, eight hundred eighty-three billion, five hundred seventy-one million, six hundred one thousand, nine hundred twenty".