86435857293 has 32 divisors (see below), whose sum is σ = 122842137600. Its totient is φ = 53903897856.

The previous prime is 86435857259. The next prime is 86435857367. The reversal of 86435857293 is 39275853468.

It is not a de Polignac number, because 86435857293 - 2⁹ = 86435856781 is a prime.

It is a super-2 number, since 2×86435857293² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86435857253) 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, 11431048 + ... + 11438606.

It is an arithmetic number, because the mean of its divisors is an integer number (3838816800).

Almost surely, 2^86435857293 is an apocalyptic number.

86435857293 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

86435857293 is a deficient number, since it is larger than the sum of its proper divisors (36406280307).

86435857293 is a wasteful number, since it uses less digits than its factorization.

86435857293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10081.

The product of its digits is 43545600, while the sum is 60.

The spelling of 86435857293 in words is "eighty-six billion, four hundred thirty-five million, eight hundred fifty-seven thousand, two hundred ninety-three".