27103009435656 has 384 divisors, whose sum is σ = 93632070528000. Its totient is φ = 6439254796800.

The previous prime is 27103009435651. The next prime is 27103009435657. The reversal of 27103009435656 is 65653490030172.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 27103009435599 and 27103009435608.

It is not an unprimeable number, because it can be changed into a prime (27103009435651) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5226501 + ... + 9028971.

It is an arithmetic number, because the mean of its divisors is an integer number (243833517000).

Almost surely, 2^{27103009435656} 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 27103009435656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46816035264000).

27103009435656 is an abundant number, since it is smaller than the sum of its proper divisors (66529061092344).

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

27103009435656 is a wasteful number, since it uses less digits than its factorization.

27103009435656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802553 (or 3802542 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 51.

The spelling of 27103009435656 in words is "twenty-seven trillion, one hundred three billion, nine million, four hundred thirty-five thousand, six hundred fifty-six".