80705492051184 has 1280 divisors, whose sum is σ = 325087993036800. Its totient is φ = 18478330675200.

The previous prime is 80705492051179. The next prime is 80705492051213. The reversal of 80705492051184 is 48115029450708.

80705492051184 is a `hidden beast` number, since 8 + 0 + 7 + 0 + 5 + 49 + 2 + 0 + 511 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 80705492051184.

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, 6375338647 + ... + 6375351305.

It is an arithmetic number, because the mean of its divisors is an integer number (253974994560).

Almost surely, 2^{80705492051184} is an apocalyptic number.

80705492051184 is a gapful number since it is divisible by the number (84) 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 80705492051184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162543996518400).

80705492051184 is an abundant number, since it is smaller than the sum of its proper divisors (244382500985616).

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

80705492051184 is a wasteful number, since it uses less digits than its factorization.

80705492051184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13371 (or 13359 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 80705492051184 in words is "eighty trillion, seven hundred five billion, four hundred ninety-two million, fifty-one thousand, one hundred eighty-four".