27513462648672 has 3456 divisors, whose sum is σ = 117220113239040. Its totient is φ = 6220953446400.

The previous prime is 27513462648619. The next prime is 27513462648697. The reversal of 27513462648672 is 27684626431572.

27513462648672 is a `hidden beast` number, since 2 + 7 + 51 + 3 + 462 + 64 + 8 + 67 + 2 = 666.

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

Its product of digits (162570240) is a multiple of the sum of its prime factors (196).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 387513558397 + ... + 387513558467.

It is an arithmetic number, because the mean of its divisors is an integer number (33917856840).

Almost surely, 2^{27513462648672} is an apocalyptic number.

27513462648672 is a gapful number since it is divisible by the number (22) 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 27513462648672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58610056619520).

27513462648672 is an abundant number, since it is smaller than the sum of its proper divisors (89706650590368).

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

27513462648672 is a wasteful number, since it uses less digits than its factorization.

27513462648672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 130 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 63.

The spelling of 27513462648672 in words is "twenty-seven trillion, five hundred thirteen billion, four hundred sixty-two million, six hundred forty-eight thousand, six hundred seventy-two".