80688000000 has 462 divisors, whose sum is σ = 275541863644. Its totient is φ = 20992000000.

The previous prime is 80687999981. The next prime is 80688000061. The reversal of 80688000000 is 88608.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1967999980 + ... + 1968000020.

Almost surely, 2^80688000000 is an apocalyptic number.

80688000000 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 80688000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137770931822).

80688000000 is an abundant number, since it is smaller than the sum of its proper divisors (194853863644).

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

80688000000 is an frugal number, since it uses more digits than its factorization.

80688000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

Multiplying 80688000000 by its product of nonzero digits (3072), we get a square (247873536000000 = 15744000²).

80688000000 divided by its product of nonzero digits (3072) gives a square (26265625 = 5125²).

Adding to 80688000000 its reverse (88608), we get a palindrome (80688088608).

The spelling of 80688000000 in words is "eighty billion, six hundred eighty-eight million", and thus it is an aban number.