253331430660 has 384 divisors, whose sum is σ = 1005477580800. Its totient is φ = 51415741440.

The previous prime is 253331430557. The next prime is 253331430661. The reversal of 253331430660 is 66034133352.

253331430660 is a `hidden beast` number, since 2 + 5 + 33 + 314 + 306 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (253331430661) 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 127 ways as a sum of consecutive naturals, for example, 1717096 + ... + 1858784.

It is an arithmetic number, because the mean of its divisors is an integer number (2618431200).

Almost surely, 2^253331430660 is an apocalyptic number.

253331430660 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 253331430660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502738790400).

253331430660 is an abundant number, since it is smaller than the sum of its proper divisors (752146150140).

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

253331430660 is a wasteful number, since it uses less digits than its factorization.

253331430660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141768 (or 141760 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 253331430660 in words is "two hundred fifty-three billion, three hundred thirty-one million, four hundred thirty thousand, six hundred sixty".