85032567982656 has 448 divisors, whose sum is σ = 292476413532160. Its totient is φ = 23718574172160.

The previous prime is 85032567982643. The next prime is 85032567982669. The reversal of 85032567982656 is 65628976523058.

85032567982656 is a `hidden beast` number, since 8 + 5 + 0 + 3 + 2 + 567 + 9 + 8 + 2 + 6 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (85032567982643) and next prime (85032567982669).

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 1108354410 + ... + 1108431126.

Almost surely, 2^{85032567982656} is an apocalyptic number.

85032567982656 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85032567982656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146238206766080).

85032567982656 is an abundant number, since it is smaller than the sum of its proper divisors (207443845549504).

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

85032567982656 is a wasteful number, since it uses less digits than its factorization.

85032567982656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78919 (or 78903 counting only the distinct ones).

The product of its (nonzero) digits is 1306368000, while the sum is 72.

The spelling of 85032567982656 in words is "eighty-five trillion, thirty-two billion, five hundred sixty-seven million, nine hundred eighty-two thousand, six hundred fifty-six".