85747392896256 has 1152 divisors, whose sum is σ = 323200110858240. Its totient is φ = 21822072717312.

The previous prime is 85747392896251. The next prime is 85747392896273. The reversal of 85747392896256 is 65269829374758.

85747392896256 is a `hidden beast` number, since 8 + 5 + 7 + 47 + 392 + 89 + 62 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85747392896251) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2244853350 + ... + 2244891546.

Almost surely, 2^{85747392896256} is an apocalyptic number.

85747392896256 is a gapful number since it is divisible by the number (86) 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 85747392896256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161600055429120).

85747392896256 is an abundant number, since it is smaller than the sum of its proper divisors (237452717961984).

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

85747392896256 is a wasteful number, since it uses less digits than its factorization.

85747392896256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38368 (or 38348 counting only the distinct ones).

The product of its digits is 10973491200, while the sum is 81.

The spelling of 85747392896256 in words is "eighty-five trillion, seven hundred forty-seven billion, three hundred ninety-two million, eight hundred ninety-six thousand, two hundred fifty-six".