80725560141600 has 756 divisors, whose sum is σ = 324775011947778. Its totient is φ = 19569815654400.

The previous prime is 80725560141587. The next prime is 80725560141637. The reversal of 80725560141600 is 614106552708.

80725560141600 is a `hidden beast` number, since 8 + 0 + 7 + 25 + 5 + 6 + 0 + 14 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 72575882645904 + 8149677495696 = 8519148^2 + 2854764^2 .

It is a super-2 number, since 2×80725560141600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 69995224 + ... + 71139176.

Almost surely, 2^{80725560141600} is an apocalyptic number.

80725560141600 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 80725560141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162387505973889).

80725560141600 is an abundant number, since it is smaller than the sum of its proper divisors (244049451806178).

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

80725560141600 is a wasteful number, since it uses less digits than its factorization.

80725560141600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144013 (or 1143974 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 80725560141600 in words is "eighty trillion, seven hundred twenty-five billion, five hundred sixty million, one hundred forty-one thousand, six hundred".