85429784160 has 768 divisors, whose sum is σ = 351465246720. Its totient is φ = 18977587200.

The previous prime is 85429784131. The next prime is 85429784161. The reversal of 85429784160 is 6148792458.

It is a happy number.

85429784160 is a `hidden beast` number, since 8 + 542 + 9 + 7 + 84 + 16 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 85429784097 and 85429784106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85429784161) 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, 242010544 + ... + 242010896.

It is an arithmetic number, because the mean of its divisors is an integer number (457637040).

Almost surely, 2^85429784160 is an apocalyptic number.

85429784160 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 85429784160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175732623360).

85429784160 is an abundant number, since it is smaller than the sum of its proper divisors (266035462560).

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

85429784160 is a wasteful number, since it uses less digits than its factorization.

85429784160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 85429784160 in words is "eighty-five billion, four hundred twenty-nine million, seven hundred eighty-four thousand, one hundred sixty".