85742864384 has 96 divisors (see below), whose sum is σ = 186692688000. Its totient is φ = 39214006272.

The previous prime is 85742864369. The next prime is 85742864387. The reversal of 85742864384 is 48346824758.

It is not an unprimeable number, because it can be changed into a prime (85742864387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1090457 + ... + 1166439.

It is an arithmetic number, because the mean of its divisors is an integer number (1944715500).

Almost surely, 2^85742864384 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 85742864384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93346344000).

85742864384 is an abundant number, since it is smaller than the sum of its proper divisors (100949823616).

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

85742864384 is a wasteful number, since it uses less digits than its factorization.

85742864384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76053 (or 76033 counting only the distinct ones).

The product of its digits is 41287680, while the sum is 59.

The spelling of 85742864384 in words is "eighty-five billion, seven hundred forty-two million, eight hundred sixty-four thousand, three hundred eighty-four".