84523495150080 has 2880 divisors, whose sum is σ = 363173303420928. Its totient is φ = 17771302748160.

The previous prime is 84523495150069. The next prime is 84523495150123. The reversal of 84523495150080 is 8005159432548.

84523495150080 is a `hidden beast` number, since 8 + 4 + 5 + 2 + 3 + 4 + 9 + 51 + 500 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a junction number, because it is equal to n+sod(n) for n = 84523495149999 and 84523495150026.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 362761781644 + ... + 362761781876.

Almost surely, 2^{84523495150080} is an apocalyptic number.

84523495150080 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 84523495150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181586651710464).

84523495150080 is an abundant number, since it is smaller than the sum of its proper divisors (278649808270848).

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

84523495150080 is a wasteful number, since it uses less digits than its factorization.

84523495150080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 84523495150080 in words is "eighty-four trillion, five hundred twenty-three billion, four hundred ninety-five million, one hundred fifty thousand, eighty".