85977417191424 has 208 divisors, whose sum is σ = 250361676307200. Its totient is φ = 26025000468480.

The previous prime is 85977417191423. The next prime is 85977417191437. The reversal of 85977417191424 is 42419171477958.

It is not an unprimeable number, because it can be changed into a prime (85977417191423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122246727 + ... + 122948025.

Almost surely, 2^{85977417191424} 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 85977417191424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125180838153600).

85977417191424 is an abundant number, since it is smaller than the sum of its proper divisors (164384259115776).

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

85977417191424 is a wasteful number, since it uses less digits than its factorization.

85977417191424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702244 (or 702222 counting only the distinct ones).

The product of its digits is 142248960, while the sum is 69.

The spelling of 85977417191424 in words is "eighty-five trillion, nine hundred seventy-seven billion, four hundred seventeen million, one hundred ninety-one thousand, four hundred twenty-four".