85293415624404 has 144 divisors (see below), whose sum is σ = 228321151144128. Its totient is φ = 24630378381312.

The previous prime is 85293415624399. The next prime is 85293415624409. The reversal of 85293415624404 is 40442651439258.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85293415624399) and next prime (85293415624409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85293415624409) 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, 13234939 + ... + 18594365.

It is an arithmetic number, because the mean of its divisors is an integer number (1585563549612).

Almost surely, 2^{85293415624404} 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 85293415624404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114160575572064).

85293415624404 is an abundant number, since it is smaller than the sum of its proper divisors (143027735519724).

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

85293415624404 is a wasteful number, since it uses less digits than its factorization.

85293415624404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5359834 (or 5359815 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 57.

The spelling of 85293415624404 in words is "eighty-five trillion, two hundred ninety-three billion, four hundred fifteen million, six hundred twenty-four thousand, four hundred four".