27516482136 has 576 divisors, whose sum is σ = 94729340160. Its totient is φ = 7376313600.

The previous prime is 27516482129. The next prime is 27516482143. The reversal of 27516482136 is 63128461572.

27516482136 is a `hidden beast` number, since 27 + 5 + 16 + 482 + 136 = 666.

It is an interprime number because it is at equal distance from previous prime (27516482129) and next prime (27516482143).

Its product of digits (483840) is a multiple of the sum of its prime factors (210).

It is a junction number, because it is equal to n+sod(n) for n = 27516482091 and 27516482100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 267150261 + ... + 267150363.

It is an arithmetic number, because the mean of its divisors is an integer number (164460660).

Almost surely, 2^27516482136 is an apocalyptic number.

27516482136 is a gapful number since it is divisible by the number (26) 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 27516482136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47364670080).

27516482136 is an abundant number, since it is smaller than the sum of its proper divisors (67212858024).

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

27516482136 is a wasteful number, since it uses less digits than its factorization.

27516482136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 163 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

It can be divided in two parts, 275 and 16482136, that added together give a triangular number (16482411 = T₅₇₄₁).

The spelling of 27516482136 in words is "twenty-seven billion, five hundred sixteen million, four hundred eighty-two thousand, one hundred thirty-six".