80245365134256 has 900 divisors, whose sum is σ = 291167546729400. Its totient is φ = 21214831067136.

The previous prime is 80245365134239. The next prime is 80245365134327. The reversal of 80245365134256 is 65243156354208.

80245365134256 is a `hidden beast` number, since 8 + 0 + 2 + 4 + 5 + 36 + 513 + 42 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2230941040 + ... + 2230977008.

It is an arithmetic number, because the mean of its divisors is an integer number (323519496366).

Almost surely, 2^{80245365134256} is an apocalyptic number.

80245365134256 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 80245365134256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145583773364700).

80245365134256 is an abundant number, since it is smaller than the sum of its proper divisors (210922181595144).

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

80245365134256 is a wasteful number, since it uses less digits than its factorization.

80245365134256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36108 (or 36043 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 80245365134256 in words is "eighty trillion, two hundred forty-five billion, three hundred sixty-five million, one hundred thirty-four thousand, two hundred fifty-six".