253015488000 has 2240 divisors, whose sum is σ = 1130304352320. Its totient is φ = 55738368000.

The previous prime is 253015487969. The next prime is 253015488001. The reversal of 253015488000 is 884510352.

It is a happy number.

253015488000 is a `hidden beast` number, since 2 + 5 + 30 + 1 + 548 + 80 + 0 + 0 = 666.

253015488000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253015488001) 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 223 ways as a sum of consecutive naturals, for example, 8724671986 + ... + 8724672014.

Almost surely, 2^253015488000 is an apocalyptic number.

253015488000 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 253015488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565152176160).

253015488000 is an abundant number, since it is smaller than the sum of its proper divisors (877288864320).

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

253015488000 is an equidigital number, since it uses as much as digits as its factorization.

253015488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 253015488000 its reverse (884510352), we get a palindrome (253899998352).

The spelling of 253015488000 in words is "two hundred fifty-three billion, fifteen million, four hundred eighty-eight thousand".