253639340064 has 192 divisors, whose sum is σ = 819081607680. Its totient is φ = 75713045760.

The previous prime is 253639340057. The next prime is 253639340083. The reversal of 253639340064 is 460043936352.

253639340064 is a `hidden beast` number, since 2 + 5 + 3 + 639 + 3 + 4 + 0 + 0 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437607 + ... + 835929.

It is an arithmetic number, because the mean of its divisors is an integer number (4266050040).

Almost surely, 2^253639340064 is an apocalyptic number.

253639340064 is a gapful number since it is divisible by the number (24) 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 253639340064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409540803840).

253639340064 is an abundant number, since it is smaller than the sum of its proper divisors (565442267616).

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

253639340064 is a wasteful number, since it uses less digits than its factorization.

253639340064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398420 (or 398406 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 253639340064 in words is "two hundred fifty-three billion, six hundred thirty-nine million, three hundred forty thousand, sixty-four".