253933505280 has 864 divisors, whose sum is σ = 1115333291520. Its totient is φ = 53568552960.

The previous prime is 253933505227. The next prime is 253933505297. The reversal of 253933505280 is 82505339352.

253933505280 is a `hidden beast` number, since 2 + 5 + 3 + 93 + 35 + 0 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40881375 + ... + 40887585.

Almost surely, 2^253933505280 is an apocalyptic number.

253933505280 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 253933505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557666645760).

253933505280 is an abundant number, since it is smaller than the sum of its proper divisors (861399786240).

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

253933505280 is a wasteful number, since it uses less digits than its factorization.

253933505280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6274 (or 6241 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 253933505280 in words is "two hundred fifty-three billion, nine hundred thirty-three million, five hundred five thousand, two hundred eighty".