81337988160 has 896 divisors, whose sum is σ = 345172101120. Its totient is φ = 17766604800.

The previous prime is 81337988153. The next prime is 81337988161. The reversal of 81337988160 is 6188973318.

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 = 81337988097 and 81337988106.

It is not an unprimeable number, because it can be changed into a prime (81337988161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53126595 + ... + 53128125.

It is an arithmetic number, because the mean of its divisors is an integer number (385236720).

Almost surely, 2^81337988160 is an apocalyptic number.

81337988160 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 81337988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172586050560).

81337988160 is an abundant number, since it is smaller than the sum of its proper divisors (263834112960).

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

81337988160 is a wasteful number, since it uses less digits than its factorization.

81337988160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

It can be divided in two parts, 813 and 37988160, that added together give a palindrome (37988973).

The spelling of 81337988160 in words is "eighty-one billion, three hundred thirty-seven million, nine hundred eighty-eight thousand, one hundred sixty".