86725626157 has 16 divisors (see below), whose sum is σ = 96785947440. Its totient is φ = 77322499072.

The previous prime is 86725626139. The next prime is 86725626167. The reversal of 86725626157 is 75162652768.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10388909476 + 76336716681 = 101926^2 + 276291^2 .

It is a cyclic number.

It is not a de Polignac number, because 86725626157 - 2¹⁵ = 86725593389 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 86725626098 and 86725626107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86725626107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1633438 + ... + 1685695.

It is an arithmetic number, because the mean of its divisors is an integer number (6049121715).

Almost surely, 2^86725626157 is an apocalyptic number.

It is an amenable number.

86725626157 is a deficient number, since it is larger than the sum of its proper divisors (10060321283).

86725626157 is a wasteful number, since it uses less digits than its factorization.

86725626157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319232.

The product of its digits is 8467200, while the sum is 55.

The spelling of 86725626157 in words is "eighty-six billion, seven hundred twenty-five million, six hundred twenty-six thousand, one hundred fifty-seven".