86742261405 has 48 divisors (see below), whose sum is σ = 159229571904. Its totient is φ = 43532459520.

The previous prime is 86742261379. The next prime is 86742261407. The reversal of 86742261405 is 50416224768.

86742261405 is a `hidden beast` number, since 8 + 6 + 7 + 4 + 22 + 614 + 0 + 5 = 666.

It is not a de Polignac number, because 86742261405 - 2¹⁸ = 86741999261 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86742261407) 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, 5600482 + ... + 5615948.

It is an arithmetic number, because the mean of its divisors is an integer number (3317282748).

Almost surely, 2^86742261405 is an apocalyptic number.

86742261405 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

86742261405 is a deficient number, since it is larger than the sum of its proper divisors (72487310499).

86742261405 is a wasteful number, since it uses less digits than its factorization.

86742261405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22826 (or 22823 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 86742261405 in words is "eighty-six billion, seven hundred forty-two million, two hundred sixty-one thousand, four hundred five".