80738604576000 has 6048 divisors, whose sum is σ = 380464938217728. Its totient is φ = 16968152678400.

The previous prime is 80738604575983. The next prime is 80738604576053. The reversal of 80738604576000 is 67540683708.

80738604576000 is a `hidden beast` number, since 8 + 0 + 7 + 3 + 8 + 60 + 4 + 576 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 972754271959 + ... + 972754272041.

It is an arithmetic number, because the mean of its divisors is an integer number (62907562536).

Almost surely, 2^{80738604576000} is an apocalyptic number.

80738604576000 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 80738604576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190232469108864).

80738604576000 is an abundant number, since it is smaller than the sum of its proper divisors (299726333641728).

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

80738604576000 is an equidigital number, since it uses as much as digits as its factorization.

80738604576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 80738604576000 in words is "eighty trillion, seven hundred thirty-eight billion, six hundred four million, five hundred seventy-six thousand".