5613603270912 has 1152 divisors, whose sum is σ = 20857355366400. Its totient is φ = 1449946054656.

The previous prime is 5613603270901. The next prime is 5613603270931. The reversal of 5613603270912 is 2190723063165.

5613603270912 is a `hidden beast` number, since 5 + 6 + 1 + 3 + 603 + 27 + 0 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8219038123 + ... + 8219038805.

It is an arithmetic number, because the mean of its divisors is an integer number (18105343200).

Almost surely, 2^{5613603270912} is an apocalyptic number.

5613603270912 is a gapful number since it is divisible by the number (52) 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 5613603270912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10428677683200).

5613603270912 is an abundant number, since it is smaller than the sum of its proper divisors (15243752095488).

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

5613603270912 is a wasteful number, since it uses less digits than its factorization.

5613603270912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 5613603270912 in words is "five trillion, six hundred thirteen billion, six hundred three million, two hundred seventy thousand, nine hundred twelve".