253276790760 has 448 divisors, whose sum is σ = 1010173334400. Its totient is φ = 55894261248.

The previous prime is 253276790743. The next prime is 253276790761. The reversal of 253276790760 is 67097672352.

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

It is a junction number, because it is equal to n+sod(n) for n = 253276790697 and 253276790706.

It is not an unprimeable number, because it can be changed into a prime (253276790761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5898087 + ... + 5940873.

Almost surely, 2^253276790760 is an apocalyptic number.

253276790760 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 253276790760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505086667200).

253276790760 is an abundant number, since it is smaller than the sum of its proper divisors (756896543640).

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

253276790760 is a wasteful number, since it uses less digits than its factorization.

253276790760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42852 (or 42833 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 253276790760 in words is "two hundred fifty-three billion, two hundred seventy-six million, seven hundred ninety thousand, seven hundred sixty".