85438256101 has 16 divisors (see below), whose sum is σ = 97273778688. Its totient is φ = 74281913200.

The previous prime is 85438256083. The next prime is 85438256119. The reversal of 85438256101 is 10165283458.

It is an interprime number because it is at equal distance from previous prime (85438256083) and next prime (85438256119).

It is not a de Polignac number, because 85438256101 - 2¹¹ = 85438254053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85438256801) 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, 1733286 + ... + 1781896.

It is an arithmetic number, because the mean of its divisors is an integer number (6079611168).

Almost surely, 2^85438256101 is an apocalyptic number.

It is an amenable number.

85438256101 is a deficient number, since it is larger than the sum of its proper divisors (11835522587).

85438256101 is a wasteful number, since it uses less digits than its factorization.

85438256101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55592.

The product of its (nonzero) digits is 230400, while the sum is 43.

The spelling of 85438256101 in words is "eighty-five billion, four hundred thirty-eight million, two hundred fifty-six thousand, one hundred one".