27513465361360 has 160 divisors (see below), whose sum is σ = 71725113584640. Its totient is φ = 9730308403200.

The previous prime is 27513465361303. The next prime is 27513465361387. The reversal of 27513465361360 is 6316356431572.

It is a junction number, because it is equal to n+sod(n) for n = 27513465361298 and 27513465361307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1898049 + ... + 7656991.

It is an arithmetic number, because the mean of its divisors is an integer number (448281959904).

Almost surely, 2^{27513465361360} is an apocalyptic number.

27513465361360 is a gapful number since it is divisible by the number (20) 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 27513465361360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35862556792320).

27513465361360 is an abundant number, since it is smaller than the sum of its proper divisors (44211648223280).

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

27513465361360 is a wasteful number, since it uses less digits than its factorization.

27513465361360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5759117 (or 5759111 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 52.

The spelling of 27513465361360 in words is "twenty-seven trillion, five hundred thirteen billion, four hundred sixty-five million, three hundred sixty-one thousand, three hundred sixty".