85323870720 has 960 divisors, whose sum is σ = 344357709696. Its totient is φ = 20065812480.

The previous prime is 85323870629. The next prime is 85323870727. The reversal of 85323870720 is 2707832358.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85323870727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 253186392 + ... + 253186728.

Almost surely, 2^85323870720 is an apocalyptic number.

85323870720 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 85323870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172178854848).

85323870720 is an abundant number, since it is smaller than the sum of its proper divisors (259033838976).

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

85323870720 is a wasteful number, since it uses less digits than its factorization.

85323870720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 85323870720 in words is "eighty-five billion, three hundred twenty-three million, eight hundred seventy thousand, seven hundred twenty".