80893361979144 has 640 divisors, whose sum is σ = 269270534332800. Its totient is φ = 22366035394560.

The previous prime is 80893361979121. The next prime is 80893361979187. The reversal of 80893361979144 is 44197916339808.

80893361979144 is a `hidden beast` number, since 8 + 0 + 8 + 93 + 361 + 97 + 91 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7721037234 + ... + 7721047710.

It is an arithmetic number, because the mean of its divisors is an integer number (420735209895).

Almost surely, 2^{80893361979144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80893361979144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134635267166400).

80893361979144 is an abundant number, since it is smaller than the sum of its proper divisors (188377172353656).

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

80893361979144 is a wasteful number, since it uses less digits than its factorization.

80893361979144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11475 (or 11462 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 80893361979144 in words is "eighty trillion, eight hundred ninety-three billion, three hundred sixty-one million, nine hundred seventy-nine thousand, one hundred forty-four".