32128838855064 has 384 divisors, whose sum is σ = 104825168448000. Its totient is φ = 9029958257664.

The previous prime is 32128838855051. The next prime is 32128838855089. The reversal of 32128838855064 is 46055883882123.

32128838855064 is a `hidden beast` number, since 3 + 2 + 12 + 8 + 8 + 3 + 8 + 8 + 550 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 32128838854992 and 32128838855010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 206096892 + ... + 206252724.

It is an arithmetic number, because the mean of its divisors is an integer number (272982209500).

Almost surely, 2^{32128838855064} 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 32128838855064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52412584224000).

32128838855064 is an abundant number, since it is smaller than the sum of its proper divisors (72696329592936).

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

32128838855064 is a wasteful number, since it uses less digits than its factorization.

32128838855064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156109 (or 156093 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 32128838855064 in words is "thirty-two trillion, one hundred twenty-eight billion, eight hundred thirty-eight million, eight hundred fifty-five thousand, sixty-four".