27910697516064 has 480 divisors, whose sum is σ = 91908962494272. Its totient is φ = 8235482112000.

The previous prime is 27910697516041. The next prime is 27910697516081. The reversal of 27910697516064 is 46061579601972.

27910697516064 is a `hidden beast` number, since 2 + 7 + 9 + 10 + 6 + 9 + 7 + 5 + 1 + 606 + 4 = 666.

It is a super-2 number, since 2×27910697516064² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27910697515992 and 27910697516010.

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 79 ways as a sum of consecutive naturals, for example, 609021919 + ... + 609067745.

Almost surely, 2^{27910697516064} is an apocalyptic number.

27910697516064 is a gapful number since it is divisible by the number (24) 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 27910697516064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45954481247136).

27910697516064 is an abundant number, since it is smaller than the sum of its proper divisors (63998264978208).

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

27910697516064 is a wasteful number, since it uses less digits than its factorization.

27910697516064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46422 (or 46405 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 27910697516064 in words is "twenty-seven trillion, nine hundred ten billion, six hundred ninety-seven million, five hundred sixteen thousand, sixty-four".