85778193839520 has 576 divisors, whose sum is σ = 338536624922496. Its totient is φ = 18095974686720.

The previous prime is 85778193839431. The next prime is 85778193839539. The reversal of 85778193839520 is 2593839187758.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3672471682 + ... + 3672495038.

It is an arithmetic number, because the mean of its divisors is an integer number (587737196046).

Almost surely, 2^{85778193839520} is an apocalyptic number.

85778193839520 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 85778193839520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169268312461248).

85778193839520 is an abundant number, since it is smaller than the sum of its proper divisors (252758431082976).

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

85778193839520 is a wasteful number, since it uses less digits than its factorization.

85778193839520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35413 (or 35398 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 75.

The spelling of 85778193839520 in words is "eighty-five trillion, seven hundred seventy-eight billion, one hundred ninety-three million, eight hundred thirty-nine thousand, five hundred twenty".