253095736320 has 704 divisors, whose sum is σ = 1040963366400. Its totient is φ = 57832538112.

The previous prime is 253095736273. The next prime is 253095736339. The reversal of 253095736320 is 23637590352.

253095736320 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 9 + 5 + 7 + 3 + 632 + 0 = 666.

253095736320 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 (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 78380466 + ... + 78383694.

Almost surely, 2^253095736320 is an apocalyptic number.

253095736320 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 253095736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520481683200).

253095736320 is an abundant number, since it is smaller than the sum of its proper divisors (787867630080).

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

253095736320 is an frugal number, since it uses more digits than its factorization.

253095736320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 253095736320 in words is "two hundred fifty-three billion, ninety-five million, seven hundred thirty-six thousand, three hundred twenty".