80098547760 has 2400 divisors, whose sum is σ = 399015175680. Its totient is φ = 14631321600.

The previous prime is 80098547759. The next prime is 80098547773. The reversal of 80098547760 is 6774589008.

80098547760 is a `hidden beast` number, since 8 + 0 + 0 + 98 + 547 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×80098547760² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 80098547697 and 80098547706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1128148525 + ... + 1128148595.

Almost surely, 2^80098547760 is an apocalyptic number.

80098547760 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 80098547760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199507587840).

80098547760 is an abundant number, since it is smaller than the sum of its proper divisors (318916627920).

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

80098547760 is a wasteful number, since it uses less digits than its factorization.

80098547760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 80098547760 in words is "eighty billion, ninety-eight million, five hundred forty-seven thousand, seven hundred sixty".