85387148784 has 80 divisors (see below), whose sum is σ = 280106000640. Its totient is φ = 24396327360.

The previous prime is 85387148779. The next prime is 85387148839. The reversal of 85387148784 is 48784178358.

85387148784 is a `hidden beast` number, since 8 + 5 + 3 + 8 + 71 + 487 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14115222 + ... + 14121269.

It is an arithmetic number, because the mean of its divisors is an integer number (3501325008).

Almost surely, 2^85387148784 is an apocalyptic number.

85387148784 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85387148784 is an abundant number, since it is smaller than the sum of its proper divisors (194718851856).

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

85387148784 is a wasteful number, since it uses less digits than its factorization.

85387148784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28236515 (or 28236503 counting only the distinct ones).

The product of its digits is 48168960, while the sum is 63.

The spelling of 85387148784 in words is "eighty-five billion, three hundred eighty-seven million, one hundred forty-eight thousand, seven hundred eighty-four".