85100671557 has 48 divisors (see below), whose sum is σ = 135615205440. Its totient is φ = 50995526400.

The previous prime is 85100671499. The next prime is 85100671561. The reversal of 85100671557 is 75517600158.

85100671557 is a `hidden beast` number, since 85 + 10 + 0 + 6 + 7 + 1 + 557 = 666.

It is not a de Polignac number, because 85100671557 - 2¹² = 85100667461 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85100671757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3580569 + ... + 3604257.

It is an arithmetic number, because the mean of its divisors is an integer number (2825316780).

Almost surely, 2^85100671557 is an apocalyptic number.

It is an amenable number.

85100671557 is a deficient number, since it is larger than the sum of its proper divisors (50514533883).

85100671557 is a wasteful number, since it uses less digits than its factorization.

85100671557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24114 (or 24111 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 45.

It can be divided in two parts, 85100 and 671557, that added together give a palindrome (756657).

The spelling of 85100671557 in words is "eighty-five billion, one hundred million, six hundred seventy-one thousand, five hundred fifty-seven".