85176285480 has 640 divisors, whose sum is σ = 351004389120. Its totient is φ = 18229432320.

The previous prime is 85176285473. The next prime is 85176285517. The reversal of 85176285480 is 8458267158.

85176285480 is a `hidden beast` number, since 8 + 5 + 1 + 7 + 628 + 5 + 4 + 8 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 10652364 + ... + 10660356.

It is an arithmetic number, because the mean of its divisors is an integer number (548444358).

Almost surely, 2^85176285480 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 85176285480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175502194560).

85176285480 is an abundant number, since it is smaller than the sum of its proper divisors (265828103640).

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

85176285480 is a wasteful number, since it uses less digits than its factorization.

85176285480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8063 (or 8050 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 85176285480 in words is "eighty-five billion, one hundred seventy-six million, two hundred eighty-five thousand, four hundred eighty".