253555351082640 has 240 divisors, whose sum is σ = 901662100574976. Its totient is φ = 63633955737600.

The previous prime is 253555351082617. The next prime is 253555351082641. The reversal of 253555351082640 is 46280153555352.

253555351082640 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 5 + 5 + 3 + 510 + 82 + 6 + 40 = 666.

253555351082640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (253555351082641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227978295 + ... + 229087785.

Almost surely, 2^{253555351082640} is an apocalyptic number.

253555351082640 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 253555351082640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450831050287488).

253555351082640 is an abundant number, since it is smaller than the sum of its proper divisors (648106749492336).

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

253555351082640 is a wasteful number, since it uses less digits than its factorization.

253555351082640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128198 (or 1128189 counting only the distinct ones).

The product of its (nonzero) digits is 21600000, while the sum is 54.

The spelling of 253555351082640 in words is "two hundred fifty-three trillion, five hundred fifty-five billion, three hundred fifty-one million, eighty-two thousand, six hundred forty".