80049761326080 has 2816 divisors, whose sum is σ = 360999461222400. Its totient is φ = 16373702983680.

The previous prime is 80049761326027. The next prime is 80049761326111. The reversal of 80049761326080 is 8062316794008.

80049761326080 is a `hidden beast` number, since 8 + 0 + 0 + 497 + 6 + 13 + 2 + 60 + 80 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 255 ways as a sum of consecutive naturals, for example, 56018026806 + ... + 56018028234.

It is an arithmetic number, because the mean of its divisors is an integer number (128195831400).

Almost surely, 2^{80049761326080} is an apocalyptic number.

80049761326080 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 80049761326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180499730611200).

80049761326080 is an abundant number, since it is smaller than the sum of its proper divisors (280949699896320).

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

80049761326080 is a wasteful number, since it uses less digits than its factorization.

80049761326080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 80049761326080 in words is "eighty trillion, forty-nine billion, seven hundred sixty-one million, three hundred twenty-six thousand, eighty".