85785467040 has 480 divisors, whose sum is σ = 372621997440. Its totient is φ = 18099542016.

The previous prime is 85785467017. The next prime is 85785467057. The reversal of 85785467040 is 4076458758.

85785467040 is a `hidden beast` number, since 8 + 57 + 8 + 546 + 7 + 0 + 40 = 666.

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 (54).

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, 1142991 + ... + 1215729.

It is an arithmetic number, because the mean of its divisors is an integer number (776295828).

Almost surely, 2^85785467040 is an apocalyptic number.

85785467040 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 85785467040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186310998720).

85785467040 is an abundant number, since it is smaller than the sum of its proper divisors (286836530400).

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

85785467040 is a wasteful number, since it uses less digits than its factorization.

85785467040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72786 (or 72769 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 85785467040 in words is "eighty-five billion, seven hundred eighty-five million, four hundred sixty-seven thousand, forty".