253538447760 has 640 divisors, whose sum is σ = 978437376000. Its totient is φ = 59934670848.

The previous prime is 253538447759. The next prime is 253538447783. The reversal of 253538447760 is 67744835352.

It is a happy number.

253538447760 is a `hidden beast` number, since 2 + 5 + 3 + 538 + 4 + 47 + 7 + 60 = 666.

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 = 253538447697 and 253538447706.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82076296 + ... + 82079384.

It is an arithmetic number, because the mean of its divisors is an integer number (1528808400).

Almost surely, 2^253538447760 is an apocalyptic number.

253538447760 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 253538447760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489218688000).

253538447760 is an abundant number, since it is smaller than the sum of its proper divisors (724898928240).

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

253538447760 is a wasteful number, since it uses less digits than its factorization.

253538447760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3240 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 253538447760 in words is "two hundred fifty-three billion, five hundred thirty-eight million, four hundred forty-seven thousand, seven hundred sixty".