39781110096 has 720 divisors, whose sum is σ = 147817503360. Its totient is φ = 10153278720.

The previous prime is 39781110043. The next prime is 39781110113. The reversal of 39781110096 is 69001118793.

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 143 ways as a sum of consecutive naturals, for example, 1283261601 + ... + 1283261631.

It is an arithmetic number, because the mean of its divisors is an integer number (205302088).

Almost surely, 2^39781110096 is an apocalyptic number.

39781110096 is a gapful number since it is divisible by the number (36) 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 39781110096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73908751680).

39781110096 is an abundant number, since it is smaller than the sum of its proper divisors (108036393264).

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

39781110096 is an equidigital number, since it uses as much as digits as its factorization.

39781110096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 39781110096 in words is "thirty-nine billion, seven hundred eighty-one million, one hundred ten thousand, ninety-six".