85453957680 has 1440 divisors, whose sum is σ = 367545047040. Its totient is φ = 16303472640.

The previous prime is 85453957637. The next prime is 85453957697. The reversal of 85453957680 is 8675935458.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 1170602124 + ... + 1170602196.

It is an arithmetic number, because the mean of its divisors is an integer number (255239616).

Almost surely, 2^85453957680 is an apocalyptic number.

85453957680 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 85453957680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183772523520).

85453957680 is an abundant number, since it is smaller than the sum of its proper divisors (282091089360).

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

85453957680 is a wasteful number, since it uses less digits than its factorization.

85453957680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 60.

It can be divided in two parts, 854539 and 57680, that added together give a palindrome (912219).

The spelling of 85453957680 in words is "eighty-five billion, four hundred fifty-three million, nine hundred fifty-seven thousand, six hundred eighty".