27735716151 has 96 divisors (see below), whose sum is σ = 49073117184. Its totient is φ = 14865120000.

The previous prime is 27735716149. The next prime is 27735716209. The reversal of 27735716151 is 15161753772.

27735716151 is a `hidden beast` number, since 2 + 7 + 73 + 571 + 6 + 1 + 5 + 1 = 666.

It is not a de Polignac number, because 27735716151 - 2¹ = 27735716149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27735716097 and 27735716106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27735716101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4026156 + ... + 4033038.

It is an arithmetic number, because the mean of its divisors is an integer number (511178304).

Almost surely, 2^27735716151 is an apocalyptic number.

27735716151 is a deficient number, since it is larger than the sum of its proper divisors (21337401033).

27735716151 is a wasteful number, since it uses less digits than its factorization.

27735716151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7045 (or 7042 counting only the distinct ones).

The product of its digits is 308700, while the sum is 45.

The spelling of 27735716151 in words is "twenty-seven billion, seven hundred thirty-five million, seven hundred sixteen thousand, one hundred fifty-one".