32856555638100 has 144 divisors (see below), whose sum is σ = 95489528904000. Its totient is φ = 8722625694720.

The previous prime is 32856555638047. The next prime is 32856555638119. The reversal of 32856555638100 is 183655565823.

It is a super-2 number, since 2×32856555638100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1009805032 + ... + 1009837568.

It is an arithmetic number, because the mean of its divisors is an integer number (663121728500).

Almost surely, 2^{32856555638100} is an apocalyptic number.

32856555638100 is a gapful number since it is divisible by the number (30) 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 32856555638100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47744764452000).

32856555638100 is an abundant number, since it is smaller than the sum of its proper divisors (62632973265900).

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

32856555638100 is a wasteful number, since it uses less digits than its factorization.

32856555638100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47482 (or 47475 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 57.

The spelling of 32856555638100 in words is "thirty-two trillion, eight hundred fifty-six billion, five hundred fifty-five million, six hundred thirty-eight thousand, one hundred".