54335109906 has 240 divisors, whose sum is σ = 155033524800. Its totient is φ = 14064684480.

The previous prime is 54335109893. The next prime is 54335109937. The reversal of 54335109906 is 60990153345.

54335109906 is a `hidden beast` number, since 5 + 43 + 3 + 510 + 9 + 90 + 6 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30473091 + ... + 30474873.

It is an arithmetic number, because the mean of its divisors is an integer number (645973020).

Almost surely, 2^54335109906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54335109906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77516762400).

54335109906 is an abundant number, since it is smaller than the sum of its proper divisors (100698414894).

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

54335109906 is a wasteful number, since it uses less digits than its factorization.

54335109906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 54335109906 in words is "fifty-four billion, three hundred thirty-five million, one hundred nine thousand, nine hundred six".