85547041979616 has 2160 divisors, whose sum is σ = 319005705609360. Its totient is φ = 22410377256960.

The previous prime is 85547041979579. The next prime is 85547041979621. The reversal of 85547041979616 is 61697914074558.

85547041979616 is a `hidden beast` number, since 8 + 5 + 5 + 470 + 4 + 1 + 97 + 9 + 61 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 204169551055 + ... + 204169551473.

It is an arithmetic number, because the mean of its divisors is an integer number (147687826671).

Almost surely, 2^{85547041979616} 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 85547041979616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159502852804680).

85547041979616 is an abundant number, since it is smaller than the sum of its proper divisors (233458663629744).

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

85547041979616 is a wasteful number, since it uses less digits than its factorization.

85547041979616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 85547041979616 in words is "eighty-five trillion, five hundred forty-seven billion, forty-one million, nine hundred seventy-nine thousand, six hundred sixteen".