85163301926820 has 720 divisors, whose sum is σ = 307812522956400. Its totient is φ = 19587762413568.

The previous prime is 85163301926809. The next prime is 85163301926831. The reversal of 85163301926820 is 2862910336158.

85163301926820 is a `hidden beast` number, since 8 + 5 + 16 + 330 + 19 + 268 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (85163301926809) and next prime (85163301926831).

It can be written as a sum of positive squares in 8 ways, for example, as 24446043158436 + 60717258768384 = 4944294^2 + 7792128^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 554917456 + ... + 555070904.

It is an arithmetic number, because the mean of its divisors is an integer number (427517392995).

Almost surely, 2^{85163301926820} 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 85163301926820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153906261478200).

85163301926820 is an abundant number, since it is smaller than the sum of its proper divisors (222649221029580).

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

85163301926820 is a wasteful number, since it uses less digits than its factorization.

85163301926820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153594 (or 153564 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 85163301926820 in words is "eighty-five trillion, one hundred sixty-three billion, three hundred one million, nine hundred twenty-six thousand, eight hundred twenty".