80011588104000 has 2240 divisors, whose sum is σ = 358705611264000. Its totient is φ = 17198595993600.

The previous prime is 80011588103983. The next prime is 80011588104017. The reversal of 80011588104000 is 40188511008.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80011588103983) and next prime (80011588104017).

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 11979572661 + ... + 11979579339.

It is an arithmetic number, because the mean of its divisors is an integer number (160136433600).

Almost surely, 2^{80011588104000} is an apocalyptic number.

80011588104000 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 80011588104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179352805632000).

80011588104000 is an abundant number, since it is smaller than the sum of its proper divisors (278694023160000).

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

80011588104000 is a wasteful number, since it uses less digits than its factorization.

80011588104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6883 (or 6854 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The spelling of 80011588104000 in words is "eighty trillion, eleven billion, five hundred eighty-eight million, one hundred four thousand".