801258716160 has 1056 divisors, whose sum is σ = 3299062321152. Its totient is φ = 175956295680.

The previous prime is 801258716117. The next prime is 801258716173. The reversal of 801258716160 is 61617852108.

801258716160 is a `hidden beast` number, since 8 + 0 + 1 + 2 + 587 + 1 + 6 + 1 + 60 = 666.

801258716160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 2269854544 + ... + 2269854896.

Almost surely, 2^801258716160 is an apocalyptic number.

801258716160 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 801258716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649531160576).

801258716160 is an abundant number, since it is smaller than the sum of its proper divisors (2497803604992).

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

801258716160 is a wasteful number, since it uses less digits than its factorization.

801258716160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 801258716160 in words is "eight hundred one billion, two hundred fifty-eight million, seven hundred sixteen thousand, one hundred sixty".