85606137838251 has 32 divisors (see below), whose sum is σ = 128245284901440. Its totient is φ = 56432600928000.

The previous prime is 85606137838153. The next prime is 85606137838259. The reversal of 85606137838251 is 15283873160658.

85606137838251 is a `hidden beast` number, since 8 + 5 + 6 + 0 + 6 + 1 + 378 + 3 + 8 + 251 = 666.

It is not a de Polignac number, because 85606137838251 - 2¹¹ = 85606137836203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85606137838259) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18197370 + ... + 22413311.

It is an arithmetic number, because the mean of its divisors is an integer number (4007665153170).

Almost surely, 2^{85606137838251} is an apocalyptic number.

85606137838251 is a deficient number, since it is larger than the sum of its proper divisors (42639147063189).

85606137838251 is a wasteful number, since it uses less digits than its factorization.

85606137838251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40611564 (or 40611558 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 85606137838251 in words is "eighty-five trillion, six hundred six billion, one hundred thirty-seven million, eight hundred thirty-eight thousand, two hundred fifty-one".