85423468320 has 480 divisors, whose sum is σ = 316536232320. Its totient is φ = 21653913600.

The previous prime is 85423468303. The next prime is 85423468337. The reversal of 85423468320 is 2386432458.

85423468320 is a `hidden beast` number, since 8 + 542 + 3 + 4 + 6 + 83 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (85423468303) and next prime (85423468337).

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 53355520 + ... + 53357120.

It is an arithmetic number, because the mean of its divisors is an integer number (659450484).

Almost surely, 2^85423468320 is an apocalyptic number.

85423468320 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 85423468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158268116160).

85423468320 is an abundant number, since it is smaller than the sum of its proper divisors (231112764000).

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

85423468320 is a wasteful number, since it uses less digits than its factorization.

85423468320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 85423468320 in words is "eighty-five billion, four hundred twenty-three million, four hundred sixty-eight thousand, three hundred twenty".