85020012564480 has 832 divisors, whose sum is σ = 347192569658880. Its totient is φ = 19334326910976.

The previous prime is 85020012564449. The next prime is 85020012564497. The reversal of 85020012564480 is 8446521002058.

85020012564480 is a `hidden beast` number, since 8 + 5 + 0 + 2 + 0 + 0 + 1 + 2 + 564 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 762476092 + ... + 762587588.

Almost surely, 2^{85020012564480} is an apocalyptic number.

85020012564480 is a gapful number since it is divisible by the number (80) 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 85020012564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173596284829440).

85020012564480 is an abundant number, since it is smaller than the sum of its proper divisors (262172557094400).

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

85020012564480 is a wasteful number, since it uses less digits than its factorization.

85020012564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111739 (or 111711 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 85020012564480 in words is "eighty-five trillion, twenty billion, twelve million, five hundred sixty-four thousand, four hundred eighty".