81850733690880 has 1280 divisors, whose sum is σ = 345804667084800. Its totient is φ = 16005464064000.

The previous prime is 81850733690867. The next prime is 81850733690899. The reversal of 81850733690880 is 8809633705818.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10294390905 + ... + 10294398855.

It is an arithmetic number, because the mean of its divisors is an integer number (270159896160).

Almost surely, 2^{81850733690880} is an apocalyptic number.

81850733690880 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 81850733690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172902333542400).

81850733690880 is an abundant number, since it is smaller than the sum of its proper divisors (263953933393920).

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

81850733690880 is an equidigital number, since it uses as much as digits as its factorization.

81850733690880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8032 (or 7996 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 66.

The spelling of 81850733690880 in words is "eighty-one trillion, eight hundred fifty billion, seven hundred thirty-three million, six hundred ninety thousand, eight hundred eighty".