65953254407040 has 4608 divisors, whose sum is σ = 327094709760000. Its totient is φ = 11882305290240.

The previous prime is 65953254407039. The next prime is 65953254407057. The reversal of 65953254407040 is 4070445235956.

It is a happy number.

65953254407040 is a `hidden beast` number, since 6 + 5 + 9 + 53 + 2 + 544 + 0 + 7 + 0 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 275955039241 + ... + 275955039479.

It is an arithmetic number, because the mean of its divisors is an integer number (70984095000).

Almost surely, 2^{65953254407040} is an apocalyptic number.

65953254407040 is a gapful number since it is divisible by the number (60) 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 65953254407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163547354880000).

65953254407040 is an abundant number, since it is smaller than the sum of its proper divisors (261141455352960).

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

65953254407040 is a wasteful number, since it uses less digits than its factorization.

65953254407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 65953254407040 in words is "sixty-five trillion, nine hundred fifty-three billion, two hundred fifty-four million, four hundred seven thousand, forty".