84524520960 has 360 divisors, whose sum is σ = 321774092640. Its totient is φ = 20490117120.

The previous prime is 84524520953. The next prime is 84524521001. The reversal of 84524520960 is 6902542548.

84524520960 is a `hidden beast` number, since 8 + 45 + 24 + 520 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 35 ways as a sum of consecutive naturals, for example, 2772681 + ... + 2802999.

It is an arithmetic number, because the mean of its divisors is an integer number (893816924).

Almost surely, 2^84524520960 is an apocalyptic number.

84524520960 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 84524520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160887046320).

84524520960 is an abundant number, since it is smaller than the sum of its proper divisors (237249571680).

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

84524520960 is a wasteful number, since it uses less digits than its factorization.

84524520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30370 (or 30340 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 84524520960 in words is "eighty-four billion, five hundred twenty-four million, five hundred twenty thousand, nine hundred sixty".