80354099865600 has 4608 divisors, whose sum is σ = 362770381209600. Its totient is φ = 17199267840000.

The previous prime is 80354099865467. The next prime is 80354099865701. The reversal of 80354099865600 is 656899045308.

80354099865600 is a `hidden beast` number, since 8 + 0 + 3 + 540 + 9 + 9 + 86 + 5 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 296509593465 + ... + 296509593735.

It is an arithmetic number, because the mean of its divisors is an integer number (78726211200).

Almost surely, 2^{80354099865600} is an apocalyptic number.

80354099865600 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 80354099865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181385190604800).

80354099865600 is an abundant number, since it is smaller than the sum of its proper divisors (282416281344000).

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

80354099865600 is a wasteful number, since it uses less digits than its factorization.

80354099865600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 80354099865600 in words is "eighty trillion, three hundred fifty-four billion, ninety-nine million, eight hundred sixty-five thousand, six hundred".