65930336123904 has 528 divisors, whose sum is σ = 230434058649600. Its totient is φ = 17723976450048.

The previous prime is 65930336123881. The next prime is 65930336123917. The reversal of 65930336123904 is 40932163303956.

65930336123904 is a `hidden beast` number, since 6 + 593 + 0 + 3 + 3 + 6 + 12 + 39 + 0 + 4 = 666.

65930336123904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5087603377 + ... + 5087616335.

Almost surely, 2^{65930336123904} is an apocalyptic number.

65930336123904 is a gapful number since it is divisible by the number (64) 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 65930336123904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115217029324800).

65930336123904 is an abundant number, since it is smaller than the sum of its proper divisors (164503722525696).

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

65930336123904 is a wasteful number, since it uses less digits than its factorization.

65930336123904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17648 (or 17627 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 54.

The spelling of 65930336123904 in words is "sixty-five trillion, nine hundred thirty billion, three hundred thirty-six million, one hundred twenty-three thousand, nine hundred four".