86005149432 has 128 divisors (see below), whose sum is σ = 224591400000. Its totient is φ = 27411664896.

The previous prime is 86005149431. The next prime is 86005149469. The reversal of 86005149432 is 23494150068.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86005149431) 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, 41169444 + ... + 41171532.

Almost surely, 2^86005149432 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 86005149432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112295700000).

86005149432 is an abundant number, since it is smaller than the sum of its proper divisors (138586250568).

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

86005149432 is a wasteful number, since it uses less digits than its factorization.

86005149432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 86005149432 in words is "eighty-six billion, five million, one hundred forty-nine thousand, four hundred thirty-two".