253728720000 has 1280 divisors, whose sum is σ = 1086717139200. Its totient is φ = 57065472000.

The previous prime is 253728719969. The next prime is 253728720031. The reversal of 253728720000 is 27827352.

It is a happy number.

253728720000 is a `hidden beast` number, since 2 + 5 + 372 + 87 + 200 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (253728719969) and next prime (253728720031).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1466639914 + ... + 1466640086.

It is an arithmetic number, because the mean of its divisors is an integer number (848997765).

Almost surely, 2^253728720000 is an apocalyptic number.

253728720000 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 253728720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543358569600).

253728720000 is an abundant number, since it is smaller than the sum of its proper divisors (832988419200).

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

253728720000 is an equidigital number, since it uses as much as digits as its factorization.

253728720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 253728720000 in words is "two hundred fifty-three billion, seven hundred twenty-eight million, seven hundred twenty thousand".