80506373713920 has 3744 divisors, whose sum is σ = 370021916759040. Its totient is φ = 16431670886400.

The previous prime is 80506373713919. The next prime is 80506373713943. The reversal of 80506373713920 is 2931737360508.

80506373713920 is a `hidden beast` number, since 8 + 0 + 506 + 3 + 7 + 37 + 13 + 92 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 299280199546 + ... + 299280199814.

It is an arithmetic number, because the mean of its divisors is an integer number (98830640160).

Almost surely, 2^{80506373713920} is an apocalyptic number.

80506373713920 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 80506373713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185010958379520).

80506373713920 is an abundant number, since it is smaller than the sum of its proper divisors (289515543045120).

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

80506373713920 is a wasteful number, since it uses less digits than its factorization.

80506373713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 80506373713920 in words is "eighty trillion, five hundred six billion, three hundred seventy-three million, seven hundred thirteen thousand, nine hundred twenty".