85343412780 has 144 divisors (see below), whose sum is σ = 268880451840. Its totient is φ = 22722856128.

The previous prime is 85343412779. The next prime is 85343412799. The reversal of 85343412780 is 8721434358.

85343412780 is a `hidden beast` number, since 8 + 5 + 34 + 341 + 278 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 3189417 + ... + 3216063.

It is an arithmetic number, because the mean of its divisors is an integer number (1867225360).

Almost surely, 2^85343412780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85343412780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134440225920).

85343412780 is an abundant number, since it is smaller than the sum of its proper divisors (183537039060).

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

85343412780 is a wasteful number, since it uses less digits than its factorization.

85343412780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27330 (or 27316 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 85343412780 in words is "eighty-five billion, three hundred forty-three million, four hundred twelve thousand, seven hundred eighty".