85374384480 has 768 divisors, whose sum is σ = 388775116800. Its totient is φ = 16967301120.

The previous prime is 85374384463. The next prime is 85374384481. The reversal of 85374384480 is 8448347358.

85374384480 is a `hidden beast` number, since 85 + 3 + 7 + 4 + 3 + 84 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85374384481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7645141 + ... + 7656299.

It is an arithmetic number, because the mean of its divisors is an integer number (506217600).

Almost surely, 2^85374384480 is an apocalyptic number.

85374384480 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 85374384480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194387558400).

85374384480 is an abundant number, since it is smaller than the sum of its proper divisors (303400732320).

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

85374384480 is a wasteful number, since it uses less digits than its factorization.

85374384480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11224 (or 11210 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 85374384480 in words is "eighty-five billion, three hundred seventy-four million, three hundred eighty-four thousand, four hundred eighty".