81028986480 has 240 divisors, whose sum is σ = 293399346240. Its totient is φ = 19922153472.

The previous prime is 81028986461. The next prime is 81028986487. The reversal of 81028986480 is 8468982018.

81028986480 is a `hidden beast` number, since 8 + 1 + 0 + 2 + 89 + 86 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81028986487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8765701 + ... + 8774939.

It is an arithmetic number, because the mean of its divisors is an integer number (1222497276).

Almost surely, 2^81028986480 is an apocalyptic number.

81028986480 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 81028986480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146699673120).

81028986480 is an abundant number, since it is smaller than the sum of its proper divisors (212370359760).

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

81028986480 is a wasteful number, since it uses less digits than its factorization.

81028986480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10208 (or 10199 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 81028986480 in words is "eighty-one billion, twenty-eight million, nine hundred eighty-six thousand, four hundred eighty".