81018362880 has 792 divisors, whose sum is σ = 348013122912. Its totient is φ = 16971005952.

The previous prime is 81018362837. The next prime is 81018362911. The reversal of 81018362880 is 8826381018.

81018362880 is a `hidden beast` number, since 8 + 1 + 0 + 18 + 3 + 628 + 8 + 0 = 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 71 ways as a sum of consecutive naturals, for example, 582865851 + ... + 582865989.

Almost surely, 2^81018362880 is an apocalyptic number.

81018362880 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 81018362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174006561456).

81018362880 is an abundant number, since it is smaller than the sum of its proper divisors (266994760032).

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

81018362880 is a wasteful number, since it uses less digits than its factorization.

81018362880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 81018362880 in words is "eighty-one billion, eighteen million, three hundred sixty-two thousand, eight hundred eighty".