85396254720 has 832 divisors, whose sum is σ = 332903208960. Its totient is φ = 18270388224.

The previous prime is 85396254719. The next prime is 85396254733. The reversal of 85396254720 is 2745269358.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 880373712 + ... + 880373808.

Almost surely, 2^85396254720 is an apocalyptic number.

85396254720 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 85396254720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166451604480).

85396254720 is an abundant number, since it is smaller than the sum of its proper divisors (247506954240).

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

85396254720 is a wasteful number, since it uses less digits than its factorization.

85396254720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 85396254720 in words is "eighty-five billion, three hundred ninety-six million, two hundred fifty-four thousand, seven hundred twenty".