53408010240 has 624 divisors, whose sum is σ = 206082938880. Its totient is φ = 12704808960.

The previous prime is 53408010179. The next prime is 53408010259. The reversal of 53408010240 is 4201080435.

53408010240 is a `hidden beast` number, since 5 + 3 + 408 + 0 + 10 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74280601 + ... + 74281319.

It is an arithmetic number, because the mean of its divisors is an integer number (330261120).

Almost surely, 2^53408010240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53408010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103041469440).

53408010240 is an abundant number, since it is smaller than the sum of its proper divisors (152674928640).

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

53408010240 is a wasteful number, since it uses less digits than its factorization.

53408010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 53408010240 its reverse (4201080435), we get a palindrome (57609090675).

The spelling of 53408010240 in words is "fifty-three billion, four hundred eight million, ten thousand, two hundred forty".