85414533120 has 576 divisors, whose sum is σ = 349316997120. Its totient is φ = 18889113600.

The previous prime is 85414533097. The next prime is 85414533121. The reversal of 85414533120 is 2133541458.

85414533120 is a `hidden beast` number, since 85 + 4 + 1 + 453 + 3 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85414533121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19996585 + ... + 20000855.

It is an arithmetic number, because the mean of its divisors is an integer number (606453120).

Almost surely, 2^85414533120 is an apocalyptic number.

85414533120 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 85414533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174658498560).

85414533120 is an abundant number, since it is smaller than the sum of its proper divisors (263902464000).

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

85414533120 is a wasteful number, since it uses less digits than its factorization.

85414533120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4342 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 85414533120 in words is "eighty-five billion, four hundred fourteen million, five hundred thirty-three thousand, one hundred twenty".