59955932106 has 256 divisors, whose sum is σ = 168608563200. Its totient is φ = 15405811200.

The previous prime is 59955932083. The next prime is 59955932119. The reversal of 59955932106 is 60123955995.

It is a happy number.

59955932106 is a `hidden beast` number, since 59 + 9 + 559 + 32 + 1 + 0 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 11797486 + ... + 11802566.

It is an arithmetic number, because the mean of its divisors is an integer number (658627200).

Almost surely, 2^59955932106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59955932106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84304281600).

59955932106 is an abundant number, since it is smaller than the sum of its proper divisors (108652631094).

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

59955932106 is a wasteful number, since it uses less digits than its factorization.

59955932106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5202 (or 5196 counting only the distinct ones).

The product of its (nonzero) digits is 3280500, while the sum is 54.

The spelling of 59955932106 in words is "fifty-nine billion, nine hundred fifty-five million, nine hundred thirty-two thousand, one hundred six".