85337853120 has 672 divisors, whose sum is σ = 333147814272. Its totient is φ = 19892404224.

The previous prime is 85337853109. The next prime is 85337853229. The reversal of 85337853120 is 2135873358.

85337853120 is a `hidden beast` number, since 8 + 533 + 7 + 85 + 31 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97306122 + ... + 97306998.

It is an arithmetic number, because the mean of its divisors is an integer number (495755676).

Almost surely, 2^85337853120 is an apocalyptic number.

85337853120 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 85337853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166573907136).

85337853120 is an abundant number, since it is smaller than the sum of its proper divisors (247809961152).

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

85337853120 is a wasteful number, since it uses less digits than its factorization.

85337853120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 85337853120 in words is "eighty-five billion, three hundred thirty-seven million, eight hundred fifty-three thousand, one hundred twenty".