85438391387328 has 336 divisors, whose sum is σ = 287029510410240. Its totient is φ = 23791609239552.

The previous prime is 85438391387317. The next prime is 85438391387353. The reversal of 85438391387328 is 82378319383458.

85438391387328 is a `hidden beast` number, since 8 + 5 + 438 + 3 + 91 + 3 + 87 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44348250 + ... + 46234662.

Almost surely, 2^{85438391387328} 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 85438391387328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143514755205120).

85438391387328 is an abundant number, since it is smaller than the sum of its proper divisors (201591119022912).

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

85438391387328 is a wasteful number, since it uses less digits than its factorization.

85438391387328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886724 (or 1886711 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 85438391387328 in words is "eighty-five trillion, four hundred thirty-eight billion, three hundred ninety-one million, three hundred eighty-seven thousand, three hundred twenty-eight".