253183680288 has 960 divisors, whose sum is σ = 997741172736. Its totient is φ = 60963840000.

The previous prime is 253183680287. The next prime is 253183680361. The reversal of 253183680288 is 882086381352.

253183680288 is a `hidden beast` number, since 2 + 531 + 8 + 3 + 6 + 80 + 28 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (253183680287) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 240897363 + ... + 240898413.

Almost surely, 2^253183680288 is an apocalyptic number.

253183680288 is a gapful number since it is divisible by the number (28) 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 253183680288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498870586368).

253183680288 is an abundant number, since it is smaller than the sum of its proper divisors (744557492448).

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

253183680288 is a wasteful number, since it uses less digits than its factorization.

253183680288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 253183680288 in words is "two hundred fifty-three billion, one hundred eighty-three million, six hundred eighty thousand, two hundred eighty-eight".