80700658560 has 512 divisors, whose sum is σ = 296402371200. Its totient is φ = 20734672896.

The previous prime is 80700658499. The next prime is 80700658579. The reversal of 80700658560 is 6585600708.

80700658560 is a `hidden beast` number, since 8 + 0 + 7 + 0 + 0 + 6 + 585 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72247122 + ... + 72248238.

Almost surely, 2^80700658560 is an apocalyptic number.

80700658560 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 80700658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148201185600).

80700658560 is an abundant number, since it is smaller than the sum of its proper divisors (215701712640).

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

80700658560 is a wasteful number, since it uses less digits than its factorization.

80700658560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1277 counting only the distinct ones).

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

The spelling of 80700658560 in words is "eighty billion, seven hundred million, six hundred fifty-eight thousand, five hundred sixty".