85642416420 has 144 divisors (see below), whose sum is σ = 266114818368. Its totient is φ = 20409355520.

The previous prime is 85642416367. The next prime is 85642416421. The reversal of 85642416420 is 2461424658.

It is not an unprimeable number, because it can be changed into a prime (85642416421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2278822 + ... + 2316098.

It is an arithmetic number, because the mean of its divisors is an integer number (1848019572).

Almost surely, 2^85642416420 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 85642416420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133057409184).

85642416420 is an abundant number, since it is smaller than the sum of its proper divisors (180472401948).

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

85642416420 is a wasteful number, since it uses less digits than its factorization.

85642416420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37418 (or 37357 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 85642416420 in words is "eighty-five billion, six hundred forty-two million, four hundred sixteen thousand, four hundred twenty".