81096837120 has 1152 divisors, whose sum is σ = 330551020800. Its totient is φ = 18919194624.

The previous prime is 81096837119. The next prime is 81096837127. The reversal of 81096837120 is 2173869018.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81096837127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 744007626 + ... + 744007734.

It is an arithmetic number, because the mean of its divisors is an integer number (286936650).

Almost surely, 2^81096837120 is an apocalyptic number.

81096837120 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 81096837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165275510400).

81096837120 is an abundant number, since it is smaller than the sum of its proper divisors (249454183680).

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

81096837120 is a wasteful number, since it uses less digits than its factorization.

81096837120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 81096837120 in words is "eighty-one billion, ninety-six million, eight hundred thirty-seven thousand, one hundred twenty".