85372395678720 has 528 divisors, whose sum is σ = 314525108177280. Its totient is φ = 21337098682368.

The previous prime is 85372395678709. The next prime is 85372395678749. The reversal of 85372395678720 is 2787659327358.

85372395678720 is a `hidden beast` number, since 8 + 5 + 3 + 7 + 2 + 39 + 567 + 8 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186995044 + ... + 187451036.

It is an arithmetic number, because the mean of its divisors is an integer number (595691492760).

Almost surely, 2^{85372395678720} is an apocalyptic number.

85372395678720 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 85372395678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157262554088640).

85372395678720 is an abundant number, since it is smaller than the sum of its proper divisors (229152712498560).

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

85372395678720 is a wasteful number, since it uses less digits than its factorization.

85372395678720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456280 (or 456259 counting only the distinct ones).

The product of its (nonzero) digits is 1066867200, while the sum is 72.

The spelling of 85372395678720 in words is "eighty-five trillion, three hundred seventy-two billion, three hundred ninety-five million, six hundred seventy-eight thousand, seven hundred twenty".