86854073740 has 192 divisors, whose sum is σ = 221316480000. Its totient is φ = 27998659584.

The previous prime is 86854073693. The next prime is 86854073767. The reversal of 86854073740 is 4737045868.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87114922 + ... + 87115918.

It is an arithmetic number, because the mean of its divisors is an integer number (1152690000).

Almost surely, 2^86854073740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86854073740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110658240000).

86854073740 is an abundant number, since it is smaller than the sum of its proper divisors (134462406260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86854073740 is a wasteful number, since it uses less digits than its factorization.

86854073740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 52.

The spelling of 86854073740 in words is "eighty-six billion, eight hundred fifty-four million, seventy-three thousand, seven hundred forty".