85378157728416 has 576 divisors, whose sum is σ = 297312844308480. Its totient is φ = 22699325122560.

The previous prime is 85378157728387. The next prime is 85378157728429. The reversal of 85378157728416 is 61482775187358.

85378157728416 is a `hidden beast` number, since 8 + 5 + 3 + 7 + 8 + 1 + 577 + 2 + 8 + 41 + 6 = 666.

It is a super-4 number, since 4×85378157728416⁴ (a number of 57 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 95 ways as a sum of consecutive naturals, for example, 549929521 + ... + 550084751.

It is an arithmetic number, because the mean of its divisors is an integer number (516168132480).

Almost surely, 2^{85378157728416} 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 85378157728416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148656422154240).

85378157728416 is an abundant number, since it is smaller than the sum of its proper divisors (211934686580064).

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

85378157728416 is a wasteful number, since it uses less digits than its factorization.

85378157728416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155529 (or 155518 counting only the distinct ones).

The product of its digits is 632217600, while the sum is 72.

The spelling of 85378157728416 in words is "eighty-five trillion, three hundred seventy-eight billion, one hundred fifty-seven million, seven hundred twenty-eight thousand, four hundred sixteen".